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Articles 2071 - 2100 of 2494
Full-Text Articles in Physical Sciences and Mathematics
On Lifts Of Paracomplex Structures, Mehmet Tekkoyun
On Lifts Of Paracomplex Structures, Mehmet Tekkoyun
Turkish Journal of Mathematics
In this paper, we obtain vertical, complete and horizontal lifts of paracomplex geometric structures on paracomplex manifolds to its tangent bundle. Also, we obtain integrability on paracomplex tangent bundle.
On Uniform Hermitian P-Normed Algebras, A. El-Kinani
On Uniform Hermitian P-Normed Algebras, A. El-Kinani
Turkish Journal of Mathematics
We show that the completion of a uniform hermitian p-normed algebra is a commutative C^*-algebra.
On The Power Subgroups Of The Extended Modular Group \Overline{\Gamma} (Corrigendum - Turk. J. Math. 28,143-151, 2004), Recep Şahi̇n, Sebahatti̇n İki̇kardeş, Özden Koruoğlu
On The Power Subgroups Of The Extended Modular Group \Overline{\Gamma} (Corrigendum - Turk. J. Math. 28,143-151, 2004), Recep Şahi̇n, Sebahatti̇n İki̇kardeş, Özden Koruoğlu
Turkish Journal of Mathematics
No abstract provided.
Connectedness In Isotonic Spaces, Eissa D. Habil, Khalid A. Elzenati
Connectedness In Isotonic Spaces, Eissa D. Habil, Khalid A. Elzenati
Turkish Journal of Mathematics
An isotonic space (X,cl) is a set X with isotonic operator cl:P(X) \to P(X) which satisfies cl(\emptyset) = \emptyset and cl(A)\subseteq cl(B) whenever A\subseteq B\subseteq X. Many properties which hold in topological spaces hold in isotonic spaces as well. The notion of connectedness that is familiar from topological spaces generalizes to isotonic spaces. We further extend the notions of Z-connectedness and strong connectedness to isotonic spaces, and we indicate the intimate relationship between these notions.
Existence Of Linear-Quadratic Regulator For Degenerate Diffusions, Md. Azizul Baten
Existence Of Linear-Quadratic Regulator For Degenerate Diffusions, Md. Azizul Baten
Turkish Journal of Mathematics
This paper studies a linear regulatory quadratic control problem for degenerate Hamilton-Jacobi-Bellman (HJB) equation. We establish the existence of a unique viscosity and a classical solution of the degenerate HJB equation associated with this problem by the technique of viscosity solutions, and, hence, derive an optimal control from the optimality conditions in the HJB equation.
Two-Weight Norm Inequalities For Some Anisotropic Sublinear Operators, Yusuf Zeren, V. S. Guliyev
Two-Weight Norm Inequalities For Some Anisotropic Sublinear Operators, Yusuf Zeren, V. S. Guliyev
Turkish Journal of Mathematics
In this paper, we establish several general theorems for the boundedness of the anisotropic sublinear operators on a weighted Lebesgue space. Conditions of these theorems are satisfied by many important operators in analysis. We also give some applications the boundedness of the parabolic singular integral operators, and the maximal operators associated with them from one weighted Lebesgue space to another one. Using this results, we prove weighted embedding theorems for the anisotropic Sobolev spaces W_{\omega_0,\omega_1,...,\omega_n}^{l_1,...,l_n}(\Rn).
On Graded Weakly Prime Ideals, Shahabaddin Ebrahimi Atani
On Graded Weakly Prime Ideals, Shahabaddin Ebrahimi Atani
Turkish Journal of Mathematics
Let G be an arbitrary group with identity e, and let R be a G-graded commutative ring. Weakly prime ideals in a commutative ring with non-zero identity have been introduced and studied in [1]. Here we study the graded weakly prime ideals of a G-graded commutative ring. A number of results concerning graded weakly prime ideals are given. For example, we give some characterizations of graded weakly prime ideals and their homogeneous components.
Some Random Fixed Point Theorems For Non-Self Nonexpansive Random Operators, Poom Kumam, Somyot Plubtieng
Some Random Fixed Point Theorems For Non-Self Nonexpansive Random Operators, Poom Kumam, Somyot Plubtieng
Turkish Journal of Mathematics
Let (\Omega, \Sigma) be a measurable space, with \sum a sigma-algebra of subsets of \Omega, and let E be a nonempty bounded closed convex and separable subset of a Banach space X, whose characteristic of noncompact convexity is less than 1. We prove that a multivalued nonexpansive, non-self operator T: \Omega \times E \rightarrow KC(X) satisfying an inwardness condition and itself being a 1-\chi-contractive nonexpansive mapping has a random fixed point. We also prove that a multivalued nonexpansive, non-self operator T:\Omega\times E\rightarrow KC(X) with a uniformly convex X satisfying an inwardness condition has a random fixed point.
Diagonal Lift In The Tangent Bundle Of Order Two And Its Applications, Fouzi Hathout, H. M. Dida
Diagonal Lift In The Tangent Bundle Of Order Two And Its Applications, Fouzi Hathout, H. M. Dida
Turkish Journal of Mathematics
In this paper we define a diagonal lift ^{D}g of Riemannian metric g of manifold M_n to the tangent bundle of order two denoted by T^{2}M_n of M_n, we associate to ^{D}g its Levi-civita connection of T^2 M and we investigate applications of the diagonal lifts in the killing vectors and geodesics.
Note On Generalized Jordan Derivations Associate With Hochschild 2-Cocycles Of Rings, Atsushi Nakajima
Note On Generalized Jordan Derivations Associate With Hochschild 2-Cocycles Of Rings, Atsushi Nakajima
Turkish Journal of Mathematics
We introduce a new type of generalized derivations associate with Hochschild 2-cocycles and prove that every generalized Jordan derivation of this type is a generalized derivation under certain conditions. This result contains the results of I. N. Herstein [6, Theorem 3.1] and M. Ashraf and N-U. Rehman [1, Theorem].
Weighted Norm Inequalities For A Class Of Rough Maximal Operators, Hussain Al-Qassem
Weighted Norm Inequalities For A Class Of Rough Maximal Operators, Hussain Al-Qassem
Turkish Journal of Mathematics
We consider maximal singular integral operators arising from rough kernels satisfying an H^1-type condition on the unit (n-1)-sphere and prove weighted L^p estimates for certain radial weights. We also prove weighted L^p estimates with A_p-weights where in this case the H^1 -type condition is replaced by an L^q-type condition with q > 1. Some applications of these results are also obtained regarding singular integrals and Marcinkiewicz integrals. Our results are essential extensions and improvements of some known results.
A Note On Kaehlerian Manifolds, Nejmi̇ Cengi̇z, Ö. Tarakçi, A. A. Sali̇mov
A Note On Kaehlerian Manifolds, Nejmi̇ Cengi̇z, Ö. Tarakçi, A. A. Sali̇mov
Turkish Journal of Mathematics
The main purpose of the present paper is to study nearly Kaehlerian manifolds. We give the condition for an almost Hermitian manifold to be nearly Kaehlerian.
Local Fourier Bases And Modulation Spaces, Salti Samarah, Rania Salman
Local Fourier Bases And Modulation Spaces, Salti Samarah, Rania Salman
Turkish Journal of Mathematics
It is shown that local Fourier bases are unconditional bases for modulation spaces. We prove first a version of the Schur test for double sequence with mixed norm and then use it to show boundedness of the analysis operator on the modulation space M_{p,q}^w
On Reduced And Semicommutative Modules, Muhi̇tti̇n Başer, Nazim Agayev
On Reduced And Semicommutative Modules, Muhi̇tti̇n Başer, Nazim Agayev
Turkish Journal of Mathematics
In this paper, various results of reduced and semicommutative rings are extended to reduced and semicommutative modules. In particular, we show: (1) For a principally quasi-Baer module, M_R is semicommutative if and only if M_R is reduced. (2) If M_R is a p.p.-module then M_R is nonsingular.
Pullbacks Of Crossed Modules And Cat^1- Commutative Algebras, Murat Alp
Pullbacks Of Crossed Modules And Cat^1- Commutative Algebras, Murat Alp
Turkish Journal of Mathematics
In this paper we first review the definitions of crossed module [10], pullback crossed module and cat^1-object in the category of commutative algebras. We then describe a certain pullback of cat^1- commutative algebras.
A Connected Sum Of Knots And Fintushel-Stern Knot Surgery On 4-Manifolds, Manabu Akaho
A Connected Sum Of Knots And Fintushel-Stern Knot Surgery On 4-Manifolds, Manabu Akaho
Turkish Journal of Mathematics
We give some new examples of smooth 4-manifolds which are diffeomorphic although they are obtained by Fintushel-Stern knot surgeries on a smooth 4-manifold with different knots; the first such examples are given by Akbulut [1]. In the proof we essentially use the monodromy of a cusp.
A Fractal Example Of A Continuous Monotone Function With Vanishing Derivatives On A Dense Set And Infinite Derivatives On Another Dense Set, Bünyami̇n Demi̇r, Vakif Dzhafarov, Şahi̇n Koçak, Mehmet Üreyen
A Fractal Example Of A Continuous Monotone Function With Vanishing Derivatives On A Dense Set And Infinite Derivatives On Another Dense Set, Bünyami̇n Demi̇r, Vakif Dzhafarov, Şahi̇n Koçak, Mehmet Üreyen
Turkish Journal of Mathematics
Inspired by the theory of analysis on fractals, we construct an example of a continuous, monotone function on an interval, which has vanishing derivatives on a dense set and infinite derivatives on another dense set. Although such examples could be constructed by classical means of probability and measure theory, this one is more elementary and emerges naturally as a byproduct of some new fractal constructions.
A Survey On The Distribution Of B-Free Numbers, Emre Alkan, Alexandru Zaharescu
A Survey On The Distribution Of B-Free Numbers, Emre Alkan, Alexandru Zaharescu
Turkish Journal of Mathematics
In this paper we present a survey of recent progress on the distribution of B-free numbers in short intervals and some of its applications.
The Restriction And The Continuity Properties Of Potentials Depending On \Lambda-Distance, M. Zeki̇ Sarikaya, Hüseyi̇n Yildirim
The Restriction And The Continuity Properties Of Potentials Depending On \Lambda-Distance, M. Zeki̇ Sarikaya, Hüseyi̇n Yildirim
Turkish Journal of Mathematics
In this study we establish theorems on the restriction and continuity of the generalized Riesz potentials with the non-isotropic kernels depending on \lambda-distance.
The Radius Of Starlikeness P-Valently Analytic Functions In The Unit Disc, Yaşar Polatoğlu, Meti̇n Bolcal, Arzu Şen, H. Esra Özkan
The Radius Of Starlikeness P-Valently Analytic Functions In The Unit Disc, Yaşar Polatoğlu, Meti̇n Bolcal, Arzu Şen, H. Esra Özkan
Turkish Journal of Mathematics
In the present paper we shall give the radius of starlikeness for the classes of p-valent analytic functions in the unit disc D = { z z < 1 }.
Asymptotic Formulas For The Resonance Eigenvalues Of The Schrödinger Operator, Sedef Karakiliç, O. A. Veli̇ev, Ş. Atilgan
Asymptotic Formulas For The Resonance Eigenvalues Of The Schrödinger Operator, Sedef Karakiliç, O. A. Veli̇ev, Ş. Atilgan
Turkish Journal of Mathematics
In this paper, we consider the Schrödinger operators defined by the differential expression Lu= - \Delta u + q(x)u in d-dimensional paralellepiped F, with the Dirichlet and the Neumann boundary conditions, where q(x) is a real valued function of L_2(F). We obtain the asymptotic formulas for the resonance eigenvalues of these operators
The Basis Number Of The Semi-Composition Product Of Some Graphs I, M. M. Jaradat, E. A. Rawashdeh, M. Y. Alzoubi
The Basis Number Of The Semi-Composition Product Of Some Graphs I, M. M. Jaradat, E. A. Rawashdeh, M. Y. Alzoubi
Turkish Journal of Mathematics
The basis number of a graph G is defined to be the least integer d such that there is a basis \mathcal{B} of the cycle space of G such that each edge of G is contained in at most d members of \mathcal{B}. We investigate the basis number of the semi-composition product of two paths and a cycle with a path.
Self-Adjoint Boundary Value Problems On Time Scales And Symmetric Green's Functions, Gusein Sh. Guseinov
Self-Adjoint Boundary Value Problems On Time Scales And Symmetric Green's Functions, Gusein Sh. Guseinov
Turkish Journal of Mathematics
In this note, higher order self-adjoint differential expressions on time scales, and associated with them self-adjoint boundary conditions, are discussed. The symmetry peoperty of the corresponding Green's functions is emphasized.
On Groups With The Weak Wide Commensurable Property, Ayşe Berkman, Mahmut Kuzucuoğlu, Erdal Özyurt
On Groups With The Weak Wide Commensurable Property, Ayşe Berkman, Mahmut Kuzucuoğlu, Erdal Özyurt
Turkish Journal of Mathematics
An infinite group with the weak wide commensurable property is shown to be abelian, provided that it is locally finite or locally graded or non-perfect or linear. We also investigate the properties of infinite non-abelian groups with the weak wide commensurable property. Moreover, we describe completely the structure of infinite locally finite groups whose p-subgroups have the weak wide commensurable property. (AMS MSC: 20F50, 20E34).
Valuations Of Polynomials, Sorasak Leeratanavalee
Valuations Of Polynomials, Sorasak Leeratanavalee
Turkish Journal of Mathematics
A tree is a connected (undirected) graph that contains no cycles. Trees play an important role in Computer Science. There are many applications in this field. Ordered binary decision diagrams are trees in the language of Boolean algebras. For the applications, it is important to measure the complexity of a tree or of a polynomial. The complexity of a polynomial over an arbitrary algebra can be regarded as a valuation. The concept of the valuations of terms was introduced by K. Denecke and S. L. Wismath in [5]. In [6], the author defined the depth of a polynomial which is …
Corrigendum Uniqueness Of Primary Decompositions [Turkish J. Math. 27 (2003), 425--434], Patrick F. Smith
Corrigendum Uniqueness Of Primary Decompositions [Turkish J. Math. 27 (2003), 425--434], Patrick F. Smith
Turkish Journal of Mathematics
No abstract provided.
Maximum Entropy-Based Fuzzy Clustering By Using L_1-Norm Space, Mohammad Ghorbani
Maximum Entropy-Based Fuzzy Clustering By Using L_1-Norm Space, Mohammad Ghorbani
Turkish Journal of Mathematics
One of the most important methods in analysis of large data sets is clustering. These methods are not only major tools to uncover the underlying structures of a given data set, but also promising tools to uncover local input-output relations of a complex system. The goal of this paper is to present a new approach to fuzzy clustering by using L_1-norm space by means of a maximum entropy inference method, where, firstly, the resulting formulas have more beautiful form and clearer physical meaning than those obtained by means of FCM method and secondly, the obtained criteria by this new method …
Formulas For The Fourier Coefficients Of Cusp Form For Some Quadratic Forms, Ahmet Tekcan
Formulas For The Fourier Coefficients Of Cusp Form For Some Quadratic Forms, Ahmet Tekcan
Turkish Journal of Mathematics
In this paper, representations of positive integers by certain quadratic forms Q_p defined for odd prime p are examined. The number of representations of positive integer n by the quadratic form Q_p, is denoted by r(n;Q_p), obtained for p=3,5 and 7.\thinspace We prove that r(n;Q_p)=\rho (n;Q_p)+\vartheta (n;Q_p) for p=3,5 and 7, where \rho (n;Q_p) is the singular series and \vartheta (n;Q_p) is the Fourier coefficient of cusp form.
2-Quasi-\Lambda-Nuclear Maps, Wasfi Shatanawi
2-Quasi-\Lambda-Nuclear Maps, Wasfi Shatanawi
Turkish Journal of Mathematics
In this paper we generalize the well-known result which says that the composition of quasi-nuclear maps is nuclear. More precisely, we define what we call a 2-quasi-\lambda -nuclear map between normed spaces, and we prove that the composition of a 2-quasi-\lambda -nuclear map with a quasi- \lambda -nuclear map is a pseudo-\lambda -nuclear map. Also, we prove that a quasi-\lambda -nuclear map is a 2-quasi-\lambda -nuclear map. For a nuclear G_{\infty} -space, we prove that a linear map T between normed spaces is 2-quasi-\lambda -nuclear if and only if it is quasi-\lambda -nuclear
Common Fixed Point Theorems For Fuzzy Mappings In Quasi-Pseudo-Metric Spaces, İlker Şahi̇n, Hakan Karayilan, Mustafa Telci̇
Common Fixed Point Theorems For Fuzzy Mappings In Quasi-Pseudo-Metric Spaces, İlker Şahi̇n, Hakan Karayilan, Mustafa Telci̇
Turkish Journal of Mathematics
In this paper, we obtain some common fixed point theorems for pairs of fuzzy mappings in left K-sequentially complete quasi-pseudo-metric spaces and right K-sequentially complete quasi-pseudo-metric spaces, respectively. Well-known theorems are special cases of our results.