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Articles 136591 - 136620 of 304096

Full-Text Articles in Physical Sciences and Mathematics

Hom-Lie 2-Superalgebras, Chunyue Wang, Qingcheng Zhang, Jizhu Nan Jan 2016

Hom-Lie 2-Superalgebras, Chunyue Wang, Qingcheng Zhang, Jizhu Nan

Turkish Journal of Mathematics

Hom-Lie 2-superalgebras can be considered as the categorification of Hom-Lie superalgebras. We give the definition of Hom-Lie 2-superalgebras and study their superderivations. We obtain the representation, deformation, and abelian extensions related to the 2-cocycle and Hom-Nijenhuis operators. Moreover, we also construct a skeletal (strict) Hom-Lie 2-superalgebra from a Hom-associative Rota--Baxter superalgebra.

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The $Q$-Analogue Of The $E_{2;1}$-Transform And Its Applications, Ahmed Salem, Faruk Uçar Jan 2016

The $Q$-Analogue Of The $E_{2;1}$-Transform And Its Applications, Ahmed Salem, Faruk Uçar

Turkish Journal of Mathematics

In this paper, we introduce a new integral transform $\ _{q}\mathcal{E}_{2;1}$, which is the $q$-analogue of the $\mathcal{E}_{2;1}$-transform and can be regarded as a $\mathit{q}$-extension of the $\mathcal{E}_{2;1}$-transform. Some identities involving $~_{q}L_{2}$-transfom, $~_{q}\mathcal{L}_{2}$-transfom, and $\mathcal{P}_{q}$-transform are given. By making use of these identities and $\ _{q}\mathcal{E}_{2;1}$-transform, a new Parseval--Goldstein type theorem is obtained. Some examples are also given as an illustration of the main results presented here.

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A Note On Riesz Space Valued Measures, Neşet Özkan Tan Jan 2016

A Note On Riesz Space Valued Measures, Neşet Özkan Tan

Turkish Journal of Mathematics

In this paper, some properties of Riesz space valued measures that are defined on an algebra of sets are obtained. The question of under what conditions $oba(\mathcal{F},E)$ =$a(\mathcal{F},E)$ for a given Dedekind complete Riesz space $E$ is answered under natural conditions. The outer measure, which is generated by order bounded Riesz space valued measure, is obtained and its properties are investigated. The concept of hazy convergence that is valid for real valued signed measures is extended to Riesz space valued measures. The consequences of order convergence of $f:X\rightarrow E$, which implies hazy convergence, are given.

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Shellability Of Simplicial Complexes And Simplicial Complexes With The Free Vertex Property, Guangjun Zhu Jan 2016

Shellability Of Simplicial Complexes And Simplicial Complexes With The Free Vertex Property, Guangjun Zhu

Turkish Journal of Mathematics

To a simplicial complex $\Delta$, we associate a square-free monomial ideal $\mathcal{F}(\Delta)$ in the polynomial ring generated by its facet over a field. Furthermore, we could consider $\mathcal{F}(\Delta)$ as the Stanley--Reisner ideal of another simplicial complex $\delta_{N}(\mathcal{F}(\Delta))$ from facet ideal theory and Stanley--Reisner theory. In this paper, we determine what families of simplicial complexes $\Delta$ have the property that their Stanley--Reisner complexes $\delta_{N}(\mathcal{F}(\Delta))$ are shellable. Furthermore, we show that the simplicial complex with the free vertex property is sequentially Cohen--Macaulay. This result gives a new proof for a result of Faridi on the sequentially Cohen--Macaulayness of simplicial forests.

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On The Finite $P$-Groups With Unique Cyclic Subgroup Of Given Order, Libo Zhao, Yangming Li, Lu Gong Jan 2016

On The Finite $P$-Groups With Unique Cyclic Subgroup Of Given Order, Libo Zhao, Yangming Li, Lu Gong

Turkish Journal of Mathematics

In this paper, we prove that if $G$ is nonabelian and $ G >p^4$, then $G$ has a unique cyclic subgroup of order $p^m$ with $m\geq 3$ if and only if $G$ has a unique abelian subgroup of order $p^3$ if and only if $G$ is a $2$-group of maximal class.

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Sparse Sums With Bases Of Chebyshev Polynomials Of The Third And Fourth Kind, Maryam Shams Solary Jan 2016

Sparse Sums With Bases Of Chebyshev Polynomials Of The Third And Fourth Kind, Maryam Shams Solary

Turkish Journal of Mathematics

We derive a generalization for the reconstruction of $M$-sparse sums in Chebyshev bases of the third and fourth kind. This work is used for a polynomial with Chebyshev sparsity and samples on a Chebyshev grid of $[-1,1]$. Further, fundamental reconstruction algorithms can be a way for getting M-sparse expansions of Chebyshev polynomials of the third and fourth kind. The numerical results for these algorithms are designed to compare the time effects of doing them.

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Stability And Data Dependence Results For The Jungck--Khan Iterative Scheme, Abdul Rahim Khan, Fai̇k Gürsoy, Vivek Kumar Jan 2016

Stability And Data Dependence Results For The Jungck--Khan Iterative Scheme, Abdul Rahim Khan, Fai̇k Gürsoy, Vivek Kumar

Turkish Journal of Mathematics

The Jungck--Khan iterative scheme for a pair of nonself operators contains as a special case Jungck--Ishikawa and Jungck--Mann iterative schemes. In this paper, we establish improved results about convergence, stability, and data dependence for the Jungck--Khan iterative scheme.

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On Congruences Related To Central Binomial Coefficients, Harmonic And Lucasnumbers, Si̇bel Koparal, Neşe Ömür Jan 2016

On Congruences Related To Central Binomial Coefficients, Harmonic And Lucasnumbers, Si̇bel Koparal, Neşe Ömür

Turkish Journal of Mathematics

In this paper, using some combinatorial identities, we present new congruences involving central binomial coefficients and harmonic, Catalan, and Fibonacci numbers. For example, for an odd prime $p$, we have \begin{eqnarray*} \sum\limits_{k=1}^{\left( p-1\right) /2}\left( -1\right) ^{k}\binom{2k}{k}% H_{k-1} &\equiv &\frac{2^{p}}{p}\left( 2F_{p+1}-5^{\left( p-1\right) /2}-1\right) ({\rm mod\ }p), \\ \sum\limits_{k=0}^{\left( p-1\right) /2}\frac{H_{k}C_{k}}{\left( -4\right) ^{k}} &\equiv &2\frac{Q_{p+1}}{p}-\frac{2^{p+1}}{p}\left( 1+2^{\left( p+1\right) /2}\right) ({\rm mod\ }p), \end{eqnarray*}% and for $\left( \frac{5}{p}\right) =1,$% \begin{equation*} \sum\limits_{k=1}^{\left( p-1\right) /2}\binom{2k}{k}\frac{H_{k-1}F_{k}}{% \left( -4\right) ^{k}}\equiv \frac{1}{p}\left( F_{2p+1}-F_{p+2}\right) -% \frac{2^{p}}{p}F_{p-1}({\rm mod\ }p), \end{equation*} where $\left\{ F_{n}\right\} $ is the Fibonacci sequence and $\left\{ Q_{n}\right\} $ is the Pell-Lucas sequence.

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Some Upper Bounds On The Dimension Of The Schur Multiplierof A Pair Of Nilpotent Lie Algebras, Behrouz Edalatzadeh Jan 2016

Some Upper Bounds On The Dimension Of The Schur Multiplierof A Pair Of Nilpotent Lie Algebras, Behrouz Edalatzadeh

Turkish Journal of Mathematics

Let $(L,N)$ be a pair of Lie algebras where $N$ is an ideal of the finite dimensional nilpotent Lie algebra $L$. Some upper bounds on the dimension of the Schur multiplier of $(L,N)$ are obtained without considering the existence of a complement for $N$. These results are applied to derive a new bound on the dimension of the Schur multiplier of a nilpotent Lie algebra.

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On A Factorization Of Operators On Finite Dimensional Hilbert Spaces, Jiawei Luo, Juexian Li, Geng Tian Jan 2016

On A Factorization Of Operators On Finite Dimensional Hilbert Spaces, Jiawei Luo, Juexian Li, Geng Tian

Turkish Journal of Mathematics

As is well known, for any operator $T$ on a complex separable Hilbert space, $T$ has the polar decomposition $T=U T $, where $U$ is a partial isometry and $ T $ is the nonnegative operator $(T^*T)^{\frac{1}{2}}$. In 2014, Tian et al. proved that on a complex separable infinite dimensional Hilbert space, any operator admits a polar decomposition in a strongly irreducible sense. More precisely, for any operator $T$ and any $\varepsilon>0$, there exists a decomposition $T=(U+K)S$, where $U$ is a partial isometry, $K$ is a compact operator with $ K

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Some Properties Of Concave Operators, Lotfollah Karimi, Masoumeh Faghih Ahmadi, Karim Hedayatian Jan 2016

Some Properties Of Concave Operators, Lotfollah Karimi, Masoumeh Faghih Ahmadi, Karim Hedayatian

Turkish Journal of Mathematics

A bounded linear operator $T$ on a Hilbert space $\mathcal{H}$ is concave if, for each $x\in\mathcal{H}$, $\ T^2x\ ^2-2\ Tx\ ^2 +\ x\ ^2 \leq 0$. In this paper, it is shown that if $T$ is a concave operator then so is every power of $T$. Moreover, we investigate the concavity of shift operators. Furthermore, we obtain necessary and sufficient conditions for N-supercyclicity of co-concave operators. Finally, we establish necessary and sufficient conditions for the left and right multiplications to be concave on the Hilbert-Schmidt class.

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Perturbational Self-Similar Solutions For The 2-Component Degasperis-Procesi System Via A Characteristic Method, Hongli An, Ka-Luen Cheung, Manwai Yuen Jan 2016

Perturbational Self-Similar Solutions For The 2-Component Degasperis-Procesi System Via A Characteristic Method, Hongli An, Ka-Luen Cheung, Manwai Yuen

Turkish Journal of Mathematics

In this paper, the two-component Degasperis-Procesi system arising in shallow water theory is investigated. By using a special transformation and the characteristic method, a class of perturbational self-similar solutions is constructed. Such solutions are not only more general than those obtained by Yuen in 2011, but also they may have potential applications in the modeling of tsunamis. In addition, the method proposed can be extended to other mathematical physics models like the two-component Camassa-Holm equations.

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The Moore-Penrose Inverse Of Differences And Products Of Projectors In A Ring With Involution, Huihui Zhu, Jianlong Chen, Pedro Patricio Jan 2016

The Moore-Penrose Inverse Of Differences And Products Of Projectors In A Ring With Involution, Huihui Zhu, Jianlong Chen, Pedro Patricio

Turkish Journal of Mathematics

In this paper, we study the Moore-Penrose inverses of differences and products of projectors in a ring with involution. Some necessary and sufficient conditions for the existence of the Moore-Penrose inverse are given. Moreover, the expressions of the Moore-Penrose inverses of differences and products of projectors are presented.

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Coefficient Estimates For General Subclasses Of $M$-Foldsymmetric Analytic Bi-Univalent Functions, Serap Bulut Jan 2016

Coefficient Estimates For General Subclasses Of $M$-Foldsymmetric Analytic Bi-Univalent Functions, Serap Bulut

Turkish Journal of Mathematics

In this work, we introduce and investigate two new subclasses of the bi-univalent functions in which both $f$ and $f^{-1}$ are $ m$-fold symmetric analytic functions. For functions in each of the subclasses introduced in this paper, we obtain the coefficient bounds for $ \left\vert a_{m+1}\right\vert $ and $\left\vert a_{2m+1}\right\vert .$

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Using Magnetic Field Analysis To Evaluate The Suitability Of A Magnetic Suspension System For Lightweight Vehicles, Hazril Md Isa, Noor Hafizah Amer, Wan Nor Liza Wan Mahadi, Rahizar Ramli Jan 2016

Using Magnetic Field Analysis To Evaluate The Suitability Of A Magnetic Suspension System For Lightweight Vehicles, Hazril Md Isa, Noor Hafizah Amer, Wan Nor Liza Wan Mahadi, Rahizar Ramli

Turkish Journal of Electrical Engineering and Computer Sciences

A suspension system in a vehicle acts as an isolator that isolates vibrations between the wheel tires and the vehicle body due to road irregularities. Additionally, a suspension system serves as a vehicle stabilizer that stabilizes the vehicle body during unusual driving patterns such as cornering, braking, or accelerating. A controllable suspension system has received significant attention in the automotive world in previous years since it can perform both of the aforementioned tasks without the presence of fluid damper. The study presented in this paper focuses on using magnetic flux density analysis to evaluate a number of parameters of an …

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Studies On The Application Of Wavelet Families For A High Impedance Fault Location Algorithm In A Distribution Network, Mohd Syukri Ali, Ab Halim Abu Bakar, Chia Kwang Tan, Hazlie Mokhlis, Hamzah Arof Jan 2016

Studies On The Application Of Wavelet Families For A High Impedance Fault Location Algorithm In A Distribution Network, Mohd Syukri Ali, Ab Halim Abu Bakar, Chia Kwang Tan, Hazlie Mokhlis, Hamzah Arof

Turkish Journal of Electrical Engineering and Computer Sciences

Detecting high impedance faults in a distribution network is a great challenge and locating one is even more challenging. This paper will present an enhanced high impedance fault location algorithm based on the database technique. This paper is an extension of a faulty section identification algorithm developed previously. However, in this paper, the performance of the previous algorithm is investigated first in terms of different sampling rate and window size. Then these parameters will be used as a standard parameter to study the effectiveness of different types of mother wavelets. Each mother wavelet will be used to extract important features …

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Fuzzy Pso-Based Algorithm For Controlling Base Station Movements In A Wireless Sensor Network, Moosa Ayati, Mahdi Pasha Zanousi Jan 2016

Fuzzy Pso-Based Algorithm For Controlling Base Station Movements In A Wireless Sensor Network, Moosa Ayati, Mahdi Pasha Zanousi

Turkish Journal of Electrical Engineering and Computer Sciences

There are strong limitations on the software, energy, and hardware capacities of a wireless sensor network (WSN) and therefore algorithms that increase the lifetime of a WSN are of great significance. In this paper, a mobile base station movement control strategy for WSNs is proposed. This strategy combines fuzzy logic node clustering, fuzzy cluster-head selection, and fuzzy logic control (FLC) of the base station movements. After determining cluster-heads, according to the distance and energy of the heads, the base station moves on a predefined square, triangle, circle, or hexagon shaped path. Direction and speed of the movements are controlled by …

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Energy And Exergy Analysis Of An Organic Rankine Cycle In A Biomass-Based Forest Products Manufacturing Plant, Muharrem Eyi̇doğan, Fatma Çanka Kiliç, Durmuş Kaya, Mehmet Özkaymak, Volkan Çoban, Selman Çağman Jan 2016

Energy And Exergy Analysis Of An Organic Rankine Cycle In A Biomass-Based Forest Products Manufacturing Plant, Muharrem Eyi̇doğan, Fatma Çanka Kiliç, Durmuş Kaya, Mehmet Özkaymak, Volkan Çoban, Selman Çağman

Turkish Journal of Electrical Engineering and Computer Sciences

In this study, energy and exergy analysis of an organic Rankine cycle (ORC) unit was carried out at a biomass-based forest products manufacturing plant. The ORC unit is used for the production of electricity and heat, by using thermal oil as a heat source in the plant. The actual data were obtained from the ORC unit during the energy production process. Studies were realized for the energy and exergy analysis of the main components of the ORC unit, which are the evaporator, condenser, turbine, and regenerator, at two different working conditions. The effect of condenser pressure on the energy and …

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A New Cmos Zc-Cdta Realization And Its Filter Applications, Ersi̇n Alaybeyoğlu, Hulusi̇ Hakan Kuntman Jan 2016

A New Cmos Zc-Cdta Realization And Its Filter Applications, Ersi̇n Alaybeyoğlu, Hulusi̇ Hakan Kuntman

Turkish Journal of Electrical Engineering and Computer Sciences

The Z copy current differencing transconductance amplifier (ZC-CDTA) is a new current-mode active element that was introduced recently. ZC-CDTA is improved from the current differencing transconductance amplifier (CDTA) and has increased its universality. In the current study, a CMOS implementation of ZC-CDTA is proposed. The first stage of ZC-CDTA consists of a current differencing unit. The output stage consists of a dual output transconductance amplifier. Furthermore, a third-generation current conveyor is used to copy the Z terminal current instead of a classical current mirror. A fourth-order filter application employing ZC-CDTAs is given and simulation results are added. The ZC-CDTA-based filter …

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Enhancement Of A Reduced Order Doubly Fed Induction Generator Model For Wind Farm Transient Stability Analyses, Mehmet Kenan Döşoğlu, Ayşen Basa Arsoy Jan 2016

Enhancement Of A Reduced Order Doubly Fed Induction Generator Model For Wind Farm Transient Stability Analyses, Mehmet Kenan Döşoğlu, Ayşen Basa Arsoy

Turkish Journal of Electrical Engineering and Computer Sciences

(DFIG) implemented for wind power systems is very important for transient stability. The rotor dynamic model (RDM) as well as the reduced order model (ROM) of a DFIG has been developed for transient analysis purpose. The performances of reduced order DFIG models with/without RDM have been compared. Modeling and analyses have been carried out in MATLAB/SIMULINK. Comparison of system behaviors against 3 phase fault is made between without RDM and with RDM. Several parameters such as output voltage, active power, speed, electrical torque variations, and d-q axis stator and rotor current variations of the DFIG along with a 34.5 kV …

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Automated Conjecturing Approach For Benzenoids, David Muncy Jan 2016

Automated Conjecturing Approach For Benzenoids, David Muncy

Theses and Dissertations

Benzenoids are graphs representing the carbon structure of molecules, defined by a closed path in the hexagonal lattice. These compounds are of interest to chemists studying existing and potential carbon structures. The goal of this study is to conjecture and prove relations between graph theoretic properties among benzenoids. First, we generate conjectures on upper bounds for the domination number in benzenoids using invariant-defined functions. This work is an extension of the ideas to be presented in a forthcoming paper. Next, we generate conjectures using property-defined functions. As the title indicates, the conjectures we prove are not thought of on our …

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Conformal Anti-Invariant Submersions From Almost Hermitian Manifolds, Mehmet Aki̇f Akyol, Bayram Şahi̇n Jan 2016

Conformal Anti-Invariant Submersions From Almost Hermitian Manifolds, Mehmet Aki̇f Akyol, Bayram Şahi̇n

Turkish Journal of Mathematics

We introduce conformal anti-invariant submersions from almost Hermitian manifolds onto Riemannian manifolds. We give examples, investigate the geometry of foliations that arose from the definition of a conformal submersion, and find necessary and sufficient conditions for a conformal anti-invariant submersion to be totally geodesic. We also check the harmonicity of such submersions and show that the total space has certain product structures. Moreover, we obtain curvature relations between the base space and the total space, and find geometric implications of these relations.

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Extension Of Refinement Rings, Rahman Bahmani Sangesari, Marjan Sheibani Abdulyousefi, Nahid Ashrafi Jan 2016

Extension Of Refinement Rings, Rahman Bahmani Sangesari, Marjan Sheibani Abdulyousefi, Nahid Ashrafi

Turkish Journal of Mathematics

In this paper we prove that a ring $R$ in which every finitely generated projective $R$-module lifts modulo $J(R)$ is a refinement ring if and only if $ \frac{R}{J(R)}$ is a refinement ring. We also prove that the refinement property for rings is Morita invariant. Several examples are constructed as well.

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Evaluation Of Spectrum Of 2-Periodic Tridiagonal-Sylvester Matrix, Emrah Kiliç, Talha Arikan Jan 2016

Evaluation Of Spectrum Of 2-Periodic Tridiagonal-Sylvester Matrix, Emrah Kiliç, Talha Arikan

Turkish Journal of Mathematics

The Sylvester matrix was first defined by JJ Sylvester. Some authors have studied the relationships between certain orthogonal polynomials and the determinant of the Sylvester matrix. Chu studied a generalization of the Sylvester matrix. In this paper, we introduce its $2$-periodic generalization. Then we compute its spectrum by left eigenvectors with a similarity trick.

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An Extension Of Cline''S Formula For A Generalized Drazin Inverse, Haifeng Lian, Qingping Zeng Jan 2016

An Extension Of Cline''S Formula For A Generalized Drazin Inverse, Haifeng Lian, Qingping Zeng

Turkish Journal of Mathematics

In this note we give an answer to a question recently posed by Zeng and Zhong, to note that Cline's formula for a generalized Drazin inverse extends to the case when $aba=aca$. Cline's formula for a pseudo Drazin inverse is also presented in this case.

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Fixed Point Theory In Wc--Banach Algebras, Aref Jeribi, Bilel Krichen, Bilel Mefteh Jan 2016

Fixed Point Theory In Wc--Banach Algebras, Aref Jeribi, Bilel Krichen, Bilel Mefteh

Turkish Journal of Mathematics

In this paper, we will prove some fixed point theorems for the sum and the product of nonlinear weakly sequentially continuous operators acting on a WC--Banach algebra. Our results improve and correct some recent results given by Banas and Taoudi, and extend several earlier works using the condition $(\mathcal{P})$.

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Solving An Initial Boundary Value Problem On Thesemiinfinite Interval, Feri̇he Atalan, Gusein Sh. Guseinov Jan 2016

Solving An Initial Boundary Value Problem On Thesemiinfinite Interval, Feri̇he Atalan, Gusein Sh. Guseinov

Turkish Journal of Mathematics

We explore the sign properties of eigenvalues and the basis properties of eigenvectors for a special quadratic matrix polynomial and use the results obtained to solve the corresponding linear system of differential equations on the half line subject to an initial condition at $t=0$ and a condition at $t=\infty$.

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Popoviciu Type Inequalities Via Green Function And Taylor Polynomial, Saad Ihsan Butt, Khuram Ali Khan, Josip Pecaric Jan 2016

Popoviciu Type Inequalities Via Green Function And Taylor Polynomial, Saad Ihsan Butt, Khuram Ali Khan, Josip Pecaric

Turkish Journal of Mathematics

The well-known Taylor polynomial is used to construct the identities coming from Popoviciu type inequalities for convex functions via the Green function. The bounds for the new identities are found using the Çebyşev functional to develop the Grüss and Ostrowski type inequalities. Further, more exponential convexity together with Cauchy means is presented for linear functionals associated with the obtained inequalities.

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Li--Yorke Chaos For Invertible Mappings On Noncompact Spaces, Bingzhe Hou, Lvlin Luo Jan 2016

Li--Yorke Chaos For Invertible Mappings On Noncompact Spaces, Bingzhe Hou, Lvlin Luo

Turkish Journal of Mathematics

In this paper, we give two examples to show that an invertible mapping being Li--Yorke chaotic does not imply its inverse being Li--Yorke chaotic, in which one is an invertible bounded linear operator on an infinite dimensional Hilbert space and the other is a homeomorphism on the unit open disk. Moreover, we use the last example to prove that Li--Yorke chaos is not preserved under topological conjugacy.

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Pointwise Slant Submersions From Cosymplectic Manifolds, Sezi̇n Aykurt Sepet, Mahmut Ergüt Jan 2016

Pointwise Slant Submersions From Cosymplectic Manifolds, Sezi̇n Aykurt Sepet, Mahmut Ergüt

Turkish Journal of Mathematics

In this paper, we characterize the pointwise slant submersions from cosymplectic manifolds onto Riemannian manifolds and give several examples.

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