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Full-Text Articles in Physical Sciences and Mathematics

Effects Of Shell Hash On Friction Angles Of Surficial Seafloor Sediments Near Oysters, Samuel T. Consolvo, Nina Stark, (...), Grace M. Massey Jan 2022

Effects Of Shell Hash On Friction Angles Of Surficial Seafloor Sediments Near Oysters, Samuel T. Consolvo, Nina Stark, (...), Grace M. Massey

VIMS Articles

Oysters are hypothesized to affect the shear strength of nearby surficial seafloor sediment as fragments of oyster shells (shell hash) are typically more angular relative to sand particles alone, among other differences. Resistance to shearing is well characterized by the friction angle, which is estimated in this study from vacuum triaxial laboratory and portable free-fall penetrometer field tests. Friction angles of sediment with shell hash were higher relative to those of sediment without shell hash (via hydrochloric acid treatment) on average by about 19% (36.0°–30.2°, respectively). Triaxial confining pressures ranged between 2.1 and 49.0 kPa to simulate subtidal and intertidal …


Surface Chlorophyll Anomalies Induced By Mesoscale Eddy-Wind Interactions In The Northern Norwegian Sea, Huizi Dong, Meng Zhou, Roshin P. Raj, Walker O. Smith Jr., Et Al Jan 2022

Surface Chlorophyll Anomalies Induced By Mesoscale Eddy-Wind Interactions In The Northern Norwegian Sea, Huizi Dong, Meng Zhou, Roshin P. Raj, Walker O. Smith Jr., Et Al

VIMS Articles

The substantial productivity of the northern Norwegian Sea is closely related to its strong mesoscale eddy activity, but how eddies affect phytoplankton biomass levels in the upper ocean through horizontal and vertical transport-mixing has not been well quantified. To assess mesoscale eddy induced ocean surface chlorophyll-a concentration (CHL) anomalies and modulation of eddy-wind interactions in the region, we constructed composite averaged CHL and wind anomalies from 3,841 snapshots of anticyclonic eddies (ACEs) and 2,727 snapshots of cyclonic eddies (CEs) over the period 2000-2020 using satellite altimetry, scatterometry, and ocean color products. Results indicate that eddy pumping induces negative (positive) CHL …


A Multi-Decadal Analysis Of River Discharge And Suspended Sediment Load In Three Texas Coastal Rivers In Relation To Hurricanes, Seasonal Rainfall, And Enso, Qiang Yao, Sanjeev Joshi, Kam-Biu Liu, Erika Rodrigues, Dongxiao Yin Jan 2022

A Multi-Decadal Analysis Of River Discharge And Suspended Sediment Load In Three Texas Coastal Rivers In Relation To Hurricanes, Seasonal Rainfall, And Enso, Qiang Yao, Sanjeev Joshi, Kam-Biu Liu, Erika Rodrigues, Dongxiao Yin

VIMS Articles

Coastal river discharge and sediment load exert major influence on the sustainability of coastal systems. Controlled by various hydroclimatic/hydrometeorological agents, they exhibit distinct trend/variability at different time scales. Coastal Texas, while being a major target for tropical cyclones over the past 6 decades, has been experiencing drought and flood cycles associated with ENSO in the long term. However, it is still unclear the temporal variability of river discharge and the associated sediment delivery over this area at different time scales, and the controlling factors behind it. In this study, a 58-years (1960–2017) dataset is compiled to analyze the influence of …


Primary Productivity Measurements In The Ross Sea, Antarctica: A Regional Synthesis, Walker O. Smith Jr. Jan 2022

Primary Productivity Measurements In The Ross Sea, Antarctica: A Regional Synthesis, Walker O. Smith Jr.

VIMS Articles

Polar systems are undersampled due to the difficulty of sampling remote and challenging environments; however, these systems are critical components of global biogeochemical cycles. Measurements on primary productivity in specific areas can quantify the input of organic matter to food webs and so are of critical ecological importance as well. However, long-term measurements using the same methodology are available only for a few polar systems. Primary productivity measurements using 14C-uptake incubations from the Ross Sea, Antarctica, are synthesized, along with chlorophyll concentrations at the same depths and locations. A total of 19 independent cruises were completed and 449 stations …


Clarifying Water Clarity: A Call To Use Metrics Best Suited To Corresponding Research And Management Goals In Aquatic Ecosystems, Jessica S. Turner, Kelsey A. Fall, Carl T. Friedrichs Jan 2022

Clarifying Water Clarity: A Call To Use Metrics Best Suited To Corresponding Research And Management Goals In Aquatic Ecosystems, Jessica S. Turner, Kelsey A. Fall, Carl T. Friedrichs

VIMS Articles

Water clarity is a subjective term and can be measured multiple ways. Different metrics such as light attenuation and Secchi depth vary in effectiveness depending on the research or management application. In this essay, we argue that different questions merit different water clarity metrics. In coastal and inland waters, empirical relationships to estimate light attenuation can yield clarity estimates that either under- or overestimate the underwater light climate for restoration goals, such as potential habitat available for submerged aquatic vegetation. Best practices in reporting water clarity measurements include regionally specific, temporally representative calibrations and communicating the metric that was actually …


Nutrient Function Over Form: Organic And Inorganic Nitrogen Additions Have Similar Effects On Lake Phytoplankton Nutrient Limitation, Sabrina N. Volponi, Heather L. Wander, (...), Brian S. Kim, Et Al Jan 2022

Nutrient Function Over Form: Organic And Inorganic Nitrogen Additions Have Similar Effects On Lake Phytoplankton Nutrient Limitation, Sabrina N. Volponi, Heather L. Wander, (...), Brian S. Kim, Et Al

VIMS Articles

The concentration of dissolved organic nitrogen (DON) is increasing in many northern hemisphere lakes, yet its use by phytoplankton and fate in the environment seldom have been quantified. We conducted 1 week, insitu, microcosm incubations across 25 lakes in northeastern North America to understand how DON, dissolved norganic nitrogen (DIN), and dissolved inorganic phosphorus (P) affected phytoplankton biomass. In addition,we tested whether lakes were limited by single macronutrients (N or P) or colimited by both. Phytoplankton biomass in 80% of lakes responded similarly to DON and DIN additions. Of the lakes where N form produced differential responses, the majority of …


Multiple Dimensions Of Functional Diversity Affect Stream Fish Taxonomic Β-Diversity, Luke M. Bower, Lauren Stoczynski, Brandon K. Peoples, Christopher J. Patrick, Bryan L. Brown Jan 2022

Multiple Dimensions Of Functional Diversity Affect Stream Fish Taxonomic Β-Diversity, Luke M. Bower, Lauren Stoczynski, Brandon K. Peoples, Christopher J. Patrick, Bryan L. Brown

VIMS Articles

1. When investigating metacommunity dynamics, functional differences among
species are often assumed to be as important as environmental differences be-
tween sites in determining β-diversity. However, few studies have examined the
influence of functional diversity on β-diversity. We examine the relative importance of regional functional diversity partitioned by niche dimensions and environmental variation in structuring taxonomic β-diversity of stream fishes using a large dataset of stream fish assemblages (hereafter, simply β-diversity). We predicted that both functional diversity and environmental variation play a rolein determining β-diversity.
2. We tested this prediction by modelling the patterns of stream fish β-diversity as
a …


Enhancing Assessments Of Blue Carbon Stocks In Marsh Soils Using Bayesian Mixed-Effects Modeling With Spatial Autocorrelation — Proof Of Concept Using Proxy Data, Grace S. Chiu, Molly Mitchell, Julie Herman, Christian Longo, Kate Davis Jan 2022

Enhancing Assessments Of Blue Carbon Stocks In Marsh Soils Using Bayesian Mixed-Effects Modeling With Spatial Autocorrelation — Proof Of Concept Using Proxy Data, Grace S. Chiu, Molly Mitchell, Julie Herman, Christian Longo, Kate Davis

VIMS Articles

Our paper showcases the potential gain in scientific insights about blue carbon stocks (or total organic carbon) when additional rigor, in the form of a spatial autocorrelation component, is formally incorporated into the statistical model for assessing the variability in carbon stocks. Organic carbon stored in marsh soils, or blue carbon (BC), is important for sequestering carbon from the atmosphere. The potential for marshes to store carbon dioxide, mitigating anthropogenic contributions to the atmosphere, makes them a critical conservation target, but efforts have been hampered by the current lack of robust methods for assessing the variability of BC stocks at …


Artistic Sensibility Is Inherent To Research, Benjamin Charles Ingman Jan 2022

Artistic Sensibility Is Inherent To Research, Benjamin Charles Ingman

Center for Rural School Health and Education: Faculty Scholarship

Artistic sensibility is defined in this work as the sensitivity and capacity to appreciate and act upon concerns of or pertaining to art and its production. This article contends that artistic sensibility is inherent to research. This contention is supported through three points which reveal a fourth: (1) Research requires dissemination. (2) Dissemination requires representation. (3) Representation requires artistic sensibility. These three points considered in conjunction illustrate a fourth: (4) Research requires artistic sensibility. This argument has implications for research venues, evaluations of research, and the preparation of researchers in all research disciplines. Namely, certain tenets of arts-based research may …


Identifying Patterns In The Structural Drivers Of Intrastate Conflict, Jonathan D. Moyer, Austin S. Matthews, Mickey Rafa, Yutang Xiong Jan 2022

Identifying Patterns In The Structural Drivers Of Intrastate Conflict, Jonathan D. Moyer, Austin S. Matthews, Mickey Rafa, Yutang Xiong

International Studies: Faculty Scholarship

Quantitative methods have been used to: (1) better predict civil conflict onset; and (2) understand causal mechanisms to inform policy intervention and theory. However, an exploration of individual conflict onset cases illustrates great variation in the characteristics describing the outbreak of civil war, suggesting that there is not one single set of factors that lead to intrastate war. In this article, we use descriptive statistics to explore persistent clusters in the drivers of civil war onset, finding evidence that some arrangements of structural drivers cluster robustly across multiple model specifications (such as young, poorly developed states with anocratic regimes). Additionally, …


Exploratory Analysis Of Password And Login Security Methods, Sofia Huang Jan 2022

Exploratory Analysis Of Password And Login Security Methods, Sofia Huang

Cybersecurity Undergraduate Research Showcase

In 2022, the average cost of a data breach is $4.35 million. Passwords are the first line of defense against unauthorized access to accounts and important data. Ensuring that accounts are secure is vital to protect personal and corporate information. Although big tech companies are researching ways to implement password-free authentication systems, they will likely not be replaced by new technology all of a sudden. Therefore, methods to strengthen passwords and optimize security must be used until more advanced options are easily accessible. In this paper, common forms of password attacks and various methods of password security evaluation and login …


Discovering The Traces Of Disinformation On Instagram, Haley Bragg, Michele C. Weigle (Mentor) Jan 2022

Discovering The Traces Of Disinformation On Instagram, Haley Bragg, Michele C. Weigle (Mentor)

Computer & Information Science: Research Experiences for Undergraduates in Disinformation Detection and Analytics

Disinformation, which is fabricated, misleading content spread with the intent to deceive others, is accumulating substantial engagements and reaching a vast audience on Instagram. However, the temporary nature of the platform and the security guidelines that remove malicious content make studying this disinformation a challenge. The only way to access removed content and banned accounts that are no longer on the live web is by searching the web archives. In this study, we set out to quantify the replayability and quality of past captures of Instagram accounts, specifically focusing on a group of of anti-vax content creators known as the …


Introduction To The Course, Michael Mcshane, C. Ariel Pinto, Hesamoddin Tahami, Hengameh Fakhravar Jan 2022

Introduction To The Course, Michael Mcshane, C. Ariel Pinto, Hesamoddin Tahami, Hengameh Fakhravar

Developing Technology Foresight: Case Study of AI in InsurTech

This PDF document describes the course, Developing Technology Foresight: Case Study of AI in InsurTech, and includes learning outcomes and a course outline.


Insurtech And Underwriting, Michael Mcshane, C. Ariel Pinto, Hesamoddin Tahami, Hengameh Fakhravar Jan 2022

Insurtech And Underwriting, Michael Mcshane, C. Ariel Pinto, Hesamoddin Tahami, Hengameh Fakhravar

Developing Technology Foresight: Case Study of AI in InsurTech

Questions regarding InsurTech and underwriting work.


Insurtech And Claims, Michael Mcshane, C. Ariel Pinto, Hesamoddin Tahami, Hengameh Fakhravar Jan 2022

Insurtech And Claims, Michael Mcshane, C. Ariel Pinto, Hesamoddin Tahami, Hengameh Fakhravar

Developing Technology Foresight: Case Study of AI in InsurTech

Questions related to InsurTech and claims.


From Balancing Redox Reactions To Determining Change Of Oxidation Numbers, Pong Kau Yuen, Cheng Man Diana Lau Jan 2022

From Balancing Redox Reactions To Determining Change Of Oxidation Numbers, Pong Kau Yuen, Cheng Man Diana Lau

Faculty Publications

Redox reaction is a core concept in teaching and learning chemistry. This article explores a new method for balancing organic redox reactions that requires the balancing of both atoms and charges. The H+, O, H2O, and e– are used as balanced vehicles in two half reactions. A non-oxidation number approach can be applied to both molecular and ionic equations. The article also provides standard operating procedures and examples. The number of transferred electrons is first determined by balancing a half redox reaction; consequently; the change of oxidation numbers can be calculated. The mathematical equation of Te– = n Te– = …


The Potential Of Bison Restoration As An Ecological Approach To Future Tribal Food Sovereignty On The Northern Great Plains, Hila Shamon, Olivia G. Cosby, Chamois L. Andersen, Helen Augare, Jony Bearcub Stiffarm, Claire E. Bresnan, Jeff M. Martin, Et Al. Jan 2022

The Potential Of Bison Restoration As An Ecological Approach To Future Tribal Food Sovereignty On The Northern Great Plains, Hila Shamon, Olivia G. Cosby, Chamois L. Andersen, Helen Augare, Jony Bearcub Stiffarm, Claire E. Bresnan, Jeff M. Martin, Et Al.

Natural Resource Management Faculty Publications

Future climate projections of warming, drying, and increased weather variability indicate that conventional agricultural and production practices within the Northern Great Plains (NGP) will become less sustainable, both ecologically and economically. As a result, the livelihoods of people that rely on these lands will be adversely impacted. This is especially true for Native American communities, who were relegated to reservations where the land is often vast but marginal and non-tribal operators have an outsized role in food production. In addition, NGP lands are expected to warm and dry disproportionately relative to the rest of the United States. It is therefore …


Towards A Burden-Free Implicit Authentication For Wearable Device Users, Bryan Lee, Sudip Vhaduri Jan 2022

Towards A Burden-Free Implicit Authentication For Wearable Device Users, Bryan Lee, Sudip Vhaduri

Discovery Undergraduate Interdisciplinary Research Internship

The state of current knowledge-based wearable authentication systems requires users to physically interact with a device to initiate and validate their presence, thereby imposing a burden on the user. However, with the recent advancements of sensor technologies in consumer smart wearables (e.g., Fitbit and Apple watches), we were able to utilize vectors of statistical features extracted from the continuous stream of data from these IoT devices to implicitly validate a user's activities and its spatiotemporal context via the use of machine learning techniques. To improve the performance of our models, additional soft biometric data (i.e., respiratory sounds) was collected, and …


Can Environmental Law Solve The "Forever Chemical" Problem?, Mark P. Nevitt, Robert V. Percival Jan 2022

Can Environmental Law Solve The "Forever Chemical" Problem?, Mark P. Nevitt, Robert V. Percival

Faculty Articles

Although federal environmental law purports to provide the public with comprehensive protection against chemical risks, the U.S. chemical industry is characterized by self­ regulation. This self-regulation is exemplified by the dangers posed by per- and polyfluoroalkyl substances (''PFAS'')­ broad classes of persistent toxic substances that have now entered nearly every American's bloodstream and hundreds of public drinking water systems. Despite data linking exposure to these "forever chemicals" to cancer, infertility, and a host of other public health harms, environmental law has failed to safeguard the American people from PFAS' toxic legacy. How did this occur? And what should be done …


Impact Of Introductory Physics For The Life Sciences In A Senior Biology Capstone Course, Benjamin D. Geller , '01, Jack Rubien , '20, Sara Hiebert Burch, Catherine Hirshfeld Crouch Jan 2022

Impact Of Introductory Physics For The Life Sciences In A Senior Biology Capstone Course, Benjamin D. Geller , '01, Jack Rubien , '20, Sara Hiebert Burch, Catherine Hirshfeld Crouch

Physics & Astronomy Faculty Works

A goal of introductory physics for life sciences (IPLS) curricula is to prepare students to effectively use physical models and quantitative reasoning in biological and medical settings. To assess whether this goal is being met, we conducted a longitudinal study of the impact of IPLS on student work in later biology and chemistry courses. We report here on one part of that study, a comparison of written responses by students with different physics backgrounds on a diffusion task administered in a senior biology capstone course. We observed differences in student reasoning that were found to be associated with prior or …


Guide To Nebraska's Wetlands And Their Conservation Needs, Third Edition, 2022, Ted Lagrange Jan 2022

Guide To Nebraska's Wetlands And Their Conservation Needs, Third Edition, 2022, Ted Lagrange

Nebraska Game and Parks Commission: Publications

Wetlands: a source of great interest, and at times conflict. Wetlands represent different things to different people. To some people they may be considered shallow, muddy nuisances whereas to others they are considered to be wonderful, varied, and productive assets. This is because wetlands take on many roles as part of an elaborate and dynamic system. Understanding wetlands requires understanding the complex and varying roles they can play. To aid in this understanding, this guide defines wetlands, discusses their importance and dynamics, identifies threats and losses, describes conservation programs, and takes an in-depth look at Nebraska’s regional wetland complexes.

Nebraska’s …


3-D Printed Arduino Powered Drone, Michael Floccare Jan 2022

3-D Printed Arduino Powered Drone, Michael Floccare

Senior Honors Projects

With the 3D technology available today creating something in a lab has never been easier. Using 3D printers, the body of a drone is created and printed using a combination of programs. With a body created using PLA filament the drone is durable and light weight. The drone’s flight system and controller are programmed with the built-in software from Arduino. Adding the Arduino nano to the drone body then gives the drone capabilities to fly.


Planning And Effects Of Equitable Teaching Practices In Emu Math 120 Class, Kyle Yapp Jan 2022

Planning And Effects Of Equitable Teaching Practices In Emu Math 120 Class, Kyle Yapp

Senior Honors Theses and Projects

The purpose of this project is to evaluate the effects of implementing Equitable Teaching practices in Math 120 Calculus 1. We used the EQUIP instrument in order to measure the amount of participation from each student. We used the X-PIPS-M instrument in order to get the students' responses to the class as well as have Dr. Ross reflect as a teacher. We used the MCOPP+ in order for Dr. Ross to reflect as a teacher. We also used the Calculus 1 Concept Inventory assessment in order to evaluate students' content knowledge growth during the course. We found that students responded …


Comparison Of Caregiver- And Child-Reported Quality Of Life In Children With Sleep-Disordered Breathing, Phoebe Kuo Yu, Kaitlyn Cook, Jiayan Liu, Raouf S. Amin, Craig Derkay, Lisa M. Elden, Susan L. Garetz, Alisha S. George, Sally Ibrahim, Stacey L. Ishman, Erin M. Kirkham, S. Kamal Naqvi, Jerilynn Radcliffe, Kristie R. Ross, Gopi B. Shah, Ignacio E. Tapia, H. Gerry Taylor, David A. Zopf, Susan Redline, Cristina M. Baldassari Jan 2022

Comparison Of Caregiver- And Child-Reported Quality Of Life In Children With Sleep-Disordered Breathing, Phoebe Kuo Yu, Kaitlyn Cook, Jiayan Liu, Raouf S. Amin, Craig Derkay, Lisa M. Elden, Susan L. Garetz, Alisha S. George, Sally Ibrahim, Stacey L. Ishman, Erin M. Kirkham, S. Kamal Naqvi, Jerilynn Radcliffe, Kristie R. Ross, Gopi B. Shah, Ignacio E. Tapia, H. Gerry Taylor, David A. Zopf, Susan Redline, Cristina M. Baldassari

Statistical and Data Sciences: Faculty Publications

Objective. Caregivers frequently report poor quality of life(QOL) in children with sleep-disordered breathing (SDB).Our objective is to assess the correlation between care-giver- and child-reported QOL in children with mild SDBand identify factors associated with differences between caregiver and child report.

Study Design. Analysis of baseline data from a multi-institutional randomized trialSetting. Pediatric Adenotonsillectomy Trial for Snoring, where children with mild SDB (obstructive apnea-hypopnea index\3) were randomized to observation or adenotonsillectomy.

Methods. The Pediatric Quality of Life Inventory (Peds QL)assessed baseline global QOL in participating children 5 to12 years old and their caregivers. Caregiver and child scores were compared. Multivariable regression …


Whole Exome Sequencing Identifies A Novel Mutation In Aspm And Ultra-Rare Mutation In Cdk5rap2 Causing Primary Microcephaly In Consanguineous Pakistani Families, Ehtisham Ul Haq Makhdoom, Haseeb Anwar, Shahid Mahmood Baig, Ghulam Hussain Jan 2022

Whole Exome Sequencing Identifies A Novel Mutation In Aspm And Ultra-Rare Mutation In Cdk5rap2 Causing Primary Microcephaly In Consanguineous Pakistani Families, Ehtisham Ul Haq Makhdoom, Haseeb Anwar, Shahid Mahmood Baig, Ghulam Hussain

Department of Biological & Biomedical Sciences

Background & objectives: Primary Microcephaly (MCPH) is a rare neurogenetic disease, manifesting congenitally reduced head circumference and non-progressive intellectual disability (ID). To date, twenty-eight genes with biallelic mutations have been reported for this disorder. The study aimed for molecular genetic characterization of Pakistani families segregating MCPH.
Methods: We studied two unrelated consanguineous families (family A and B) presenting >2 patients with diagnostic symptoms of MCPH, born to asymptomatic parents. We employed whole-exome sequencing (WES) of probands to find putative causal mutations. The candidate variants were further confirmed and analyzed for co-segregation by Sanger sequencing of all available members of each …


Hyers-Ulam Stability Of A Certain Fredholm Integral Equation, Alberto Simões, Ponmana Selvan Jan 2022

Hyers-Ulam Stability Of A Certain Fredholm Integral Equation, Alberto Simões, Ponmana Selvan

Turkish Journal of Mathematics

In this paper, by using fixed point theorem we establish the Hyers-Ulam stability and Hyers-Ulam-Rassias stability of certain homogeneous Fredholm Integral equation of the second kind $$ \phi(x) = \lambda \int_{0}^{1}(1+x+t) \, \phi(t) \, dt $$ and the nonhomogeneous equation $$ \phi(x) = x + \lambda \int_{0}^{1}(1+x+t) \, \phi(t) \, dt $$ for all $x \in [0,1]$ and $0


On The Application Of Euler's Method To Linear Integro Differential Equations And Comparison With Existing Methods, Deni̇z Elmaci, Nurcan Baykuş Savaşaneri̇l, Fadi̇me Dal, Mehmet Sezer Jan 2022

On The Application Of Euler's Method To Linear Integro Differential Equations And Comparison With Existing Methods, Deni̇z Elmaci, Nurcan Baykuş Savaşaneri̇l, Fadi̇me Dal, Mehmet Sezer

Turkish Journal of Mathematics

In this study, a collocation method using Euler method for solving systems of linear integro-differential equations is presented. Thesolution process is illustrated and various physically relevant results are obtained. Comparison of the obtained results with exactsolutions and solutions obtained by other methods show that the proposed method is an effective and highly promising for linear integro-differential equation systems. All of numerical calculations have been made on a computer using a program written in Matlab.


To The Solution Of Integro-Differential Equations With Nonlocal Conditions, Kamil R. Aida-Zade, Vagif M. Abdullayev Jan 2022

To The Solution Of Integro-Differential Equations With Nonlocal Conditions, Kamil R. Aida-Zade, Vagif M. Abdullayev

Turkish Journal of Mathematics

We investigate linear integro-differential equations with ordinary derivatives. The kernels of the integrands depend only on the variable of integration, and the conditions involve the terms with the point and integral values of the unknown function. We drive necessary and sufficient conditions for the existence and uniqueness of the solution of the problem, which can be used both for analytical and numerical solutions. We present the results of solving an illustrative test problem.


Two Nonzero Weak Solutions For A Quasilinear Kirchhoff Type Problem, Lin Li, Stepan Tersian Jan 2022

Two Nonzero Weak Solutions For A Quasilinear Kirchhoff Type Problem, Lin Li, Stepan Tersian

Turkish Journal of Mathematics

We study the existence of two nonzero solutions for a class of quasilinear Kirchhoff problems. The approach is based on the variational methods. Our nonlinerity is contrast to some previous results is that superlinear growth at infinity.


$P$-Strong Convergence With Respect To An Orlicz Function, Ni̇lay Şahi̇n Bayram Jan 2022

$P$-Strong Convergence With Respect To An Orlicz Function, Ni̇lay Şahi̇n Bayram

Turkish Journal of Mathematics

The concepts of strong convergence, statistical convergence, and uniform integrability are of some interest in convergence theories. Recently Ünver and Orhan [19] have introduced the concepts of $P$-strong and $P$-statistical convergences with the help of power series methods and established a relationship between them. In the present paper, we introduce the notion of $P$-strong convergence with respect to an Orlicz function and prove that all these three concepts are boundedly equivalent provided that Orlicz function satisfies $\triangle _{2}-$condition. We also get an improvement of this result by using the concept of uniform integrability.