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Articles 2431 - 2460 of 2595
Full-Text Articles in Physical Sciences and Mathematics
Cycloidal Normal Subgroups Of Hecke Groups Of Finite Index, İsmai̇l Naci̇ Cangül, Osman Bi̇zi̇m
Cycloidal Normal Subgroups Of Hecke Groups Of Finite Index, İsmai̇l Naci̇ Cangül, Osman Bi̇zi̇m
Turkish Journal of Mathematics
Cycloidal normal subgroups, that is, subgroups with only one cusp, of finite index of Hecke groups, which have been introduced by E. Hecke, and can be thought of as some kind of generalisation of the well-known modular group, are studied. It is shown that they correspond to cyclic quotients of Hecke groups and therefore have non-compact associated Riemann surfaces with a cusp. Finally, their total number have been formulated.
Generalized Solutions Of A Class Of Linear And Quasi-Linear Degenerated Hyperbolic Equations, Rossitza Semerdjieva
Generalized Solutions Of A Class Of Linear And Quasi-Linear Degenerated Hyperbolic Equations, Rossitza Semerdjieva
Turkish Journal of Mathematics
The equation $L(u):=k(y)u_{xx}-\partial_y(\ell(y)u_y)+r(x,y)u=f(x,y,u),$ where $k(y)>0, \ell(y)>0$ for $y>0,k(0)=\ell(0)=0$ and $lim_{y\rightarrow 0}k(y)/\ell(y)$ exists, is strictly hyperbolic for $y>0$ and its order degenerates on the line $y=0$. We consider the boundary value problem $Lu=f(x,y,u)$ in $G, u\mid_{AC}=0$, where $G$ is a simply connected domain in $R^2$ with piecewise smooth boundary $\partial G=AB\cup AC\cup BC; AB=\{(x,0): 0\leq x\leq 1\}, AC : x=F(y) =\int_0^y(k(t)/\ell (t))^{1/2}dt$ and $BC: x=1-F(y)$ are characteristic curves. The existence and uniqueness of a generalized solution to this problem are proved in the linear case (where $f=f(x,y));$ the nonlinear case is treated by using the Schauder Fixed …
Structure Of M-Dimensional Implicitly Defined Surfaces In N-Dimensional Euclidean Space E_N, Alla Borisovna Kotlyar
Structure Of M-Dimensional Implicitly Defined Surfaces In N-Dimensional Euclidean Space E_N, Alla Borisovna Kotlyar
Turkish Journal of Mathematics
We consider the structure of the surface in the given point, if we vary all its normals in this point.
Alternative Polynomial And Holomorphic Dunford-Pettis Properties, Walden Freedman
Alternative Polynomial And Holomorphic Dunford-Pettis Properties, Walden Freedman
Turkish Journal of Mathematics
Alternatives to the Polynomial Dunford-Pettis property and the Holomorphic Dunford-Pettis property, called the PDP1 and HDP1 properties, respectively, are introduced. These are shown to be equivalent to the DP1 property, an alternative Dunford-Pettis property previously introduced by the author, thus mirroring the equivalence of the three original properties.
A Class Of Banach Algebras Whose Duals Have The Schur Property, H. Mustafayev, A. Ülger
A Class Of Banach Algebras Whose Duals Have The Schur Property, H. Mustafayev, A. Ülger
Turkish Journal of Mathematics
Call a commutative Banach algebra $A$ a $\gamma$-algebra if it contains a bounded group $\Gamma$ such that $\overline{aco(\Gamma)}$ contains a multiple of the unit ball of $A$. In this paper, first by exhibiting several concrete examples, we show that the class of $\gamma$-algebras is quite rich. Then, for a $\gamma$-algebra $A$, we prove that $A^{\star}$ has the Schur property iff the Gelfand spectrum $\sum$ of $A$ is scattered iff $A^{\star}=ap(A)$ iff $A^{\star}=\overline{Span(\sum)}$.
Some Theorems Involving Inequalities On P-Valent Functions, Hüseyi̇n Irmak, Ömer Faruk Çeti̇n
Some Theorems Involving Inequalities On P-Valent Functions, Hüseyi̇n Irmak, Ömer Faruk Çeti̇n
Turkish Journal of Mathematics
In this paper, some theorems involving inequalities on $p$-valent functions (that is $p$-valenty close-to-convex functions, $p$-valently starlike functions, and $p$-valently convex functions) are given. Moreover, some applications in the theorems which are important for geometric function theory are also included. Keywords: Analytic, $p$-valent, $p$-valently colse-to-convex functions, $p$-valently starlike functions, $p$-valently convex functions, open unit disk, and Jack's Lemma.
The Structure Of A Solvmanifold's Heegaard Splittings, Darly Cooper, Martin Scharlemann
The Structure Of A Solvmanifold's Heegaard Splittings, Darly Cooper, Martin Scharlemann
Turkish Journal of Mathematics
No abstract provided.
Virtual Neighborhoods And Pseudo-Holomorphic Curves, Yongbin Ruan
Virtual Neighborhoods And Pseudo-Holomorphic Curves, Yongbin Ruan
Turkish Journal of Mathematics
No abstract provided.
Countable Dense Homogeneous Bıtopologıcal Spaces, Abdalla Tallafha, Adnan Al-Bsoul, Ali̇ Ahmad Fora
Countable Dense Homogeneous Bıtopologıcal Spaces, Abdalla Tallafha, Adnan Al-Bsoul, Ali̇ Ahmad Fora
Turkish Journal of Mathematics
In this paper we shall introduce the concept of being countable dense homogeneous bitopological spaces and define several kinds of this concept. We shall give some results concerning these bitopological spaces and their relations. Also, we shall prove that all of these bitopological spaces satisfying the axioms p-T_0 and p-T_1.
Left Adjoint Of Pullback Cat^1 -Groups, Murat Alp
Left Adjoint Of Pullback Cat^1 -Groups, Murat Alp
Turkish Journal of Mathematics
In [1] we define the pullback Cat^1-groups and showed that the category of pullback Cat^1-groups is equivalent to the category of pullback crossed modules. In this paper we proved that the pullback Cat^1-group has a left adjoint which is the induced Cat^1-group. We also give the left adjoint construction.
Normal Subgroups And Elements Of H^{'}(\Lambda_Q), İsmai̇l Naci̇ Cangül
Normal Subgroups And Elements Of H^{'}(\Lambda_Q), İsmai̇l Naci̇ Cangül
Turkish Journal of Mathematics
In this study, we consider the normal subgroups of H^{'}(\lambda_q), where H(\lambda_q) denotes the Hecke groups. After recalling some results from [2], particularly on the group structure and on the relations with the power subgroups of H(\lambda_q), the even subgroup H_e(\lambda_q) of H(\lambda_q) is discussed. It is shown that H^{'}(\lambda_q) is a normal subgroup of H_e(\lambda_q) with index q. For this reason each subgroup of H^{'}(\lambda_q) consists of only even elements. H^{''}(\lambda_q) is also considered and it is concluded that it is the normal subgroup of H^{'}(\lambda_q) generated by all commutators of the elements of H^{'}(\lambda_q). Using the Kurosh subgroup …
A Stone's Representation Theorem And Some Applications, Eissa D. Habil
A Stone's Representation Theorem And Some Applications, Eissa D. Habil
Turkish Journal of Mathematics
In this paper, we prove the following form of Stone's representation theorem: Let \sum be a \sigma-algebra of subsets of a set X. Then there exists a totally disconnected compact Hausdorff space {\cal K} for which (\sum, \cup, \cap) and ({\cal C}({\cal K}), \cup ,\cap), where {\cal C}({\cal K}) denotes the set of all clopen subsets of {\cal K}, are isomorphic as Boolean algebras. Furthermore, by defining appropriate joins and meets of countable families in {\cal C}({\cal K}), we show that such an isomorphism preserves \sigma-completeness. Then, as a consequence of this result, we obtain the result that if ba(X,\sum) …
Tyurina Components And Rational Cycles For Rational Singularities, Meral Tosun
Tyurina Components And Rational Cycles For Rational Singularities, Meral Tosun
Turkish Journal of Mathematics
In this paper, we give a geometric proof of Pinkham's theorem on the positive cycles supported on the exceptional divisor of a rational singularity. In order to do this, we give several properties of the Tyurina components of the exceptional divisor and of the points of blowing-up surface of a rational singularity.
The Weight Equations For Binary Linear Codes, Ersan Akyildiz, İsmai̇l Ş. Güloğlu, Masatoshi Ikeda
The Weight Equations For Binary Linear Codes, Ersan Akyildiz, İsmai̇l Ş. Güloğlu, Masatoshi Ikeda
Turkish Journal of Mathematics
The system of weight equations for a binary $(n, m)$-code with respect to its ordered basis is introduced. It connects certain quantities (characteristics) related to the basis with the weights of non-zero words in the code. It is shown that the portion involving the variables does not depend neither on the code nor on the basis. Explicit forms of the matrix of coefficients in the system and its inverse matrix are computed.
Cahit Arf's Contribution To Algebraic Number Theory And Related Fields, Masatoshi G. İkeda
Cahit Arf's Contribution To Algebraic Number Theory And Related Fields, Masatoshi G. İkeda
Turkish Journal of Mathematics
No abstract provided.
Difference Method For A Singularly Perturbed Initial Value Problem, Gabi̇l Muhammadoğlu Amiraliyev
Difference Method For A Singularly Perturbed Initial Value Problem, Gabi̇l Muhammadoğlu Amiraliyev
Turkish Journal of Mathematics
In this paper we construct a completely exponentially fitted finite difference scheme for the initial value problem with small parameter by first and second derivatives. We prove the first order uniform convergence of the scheme in the sense of discrete maximum norm. Numerical results are presented.
On A Certain Subclass Of Analytic Functions With Negative Cefficients, M. K. Aouf, Nak Eun Cho
On A Certain Subclass Of Analytic Functions With Negative Cefficients, M. K. Aouf, Nak Eun Cho
Turkish Journal of Mathematics
The object of the present paper is to derive several interesting properties of the class $T_n\lam$ consisting of analytic and univalent functions with negative coefficients. Coefficient inequalities, distortion theorems and closure theorems of functions in the class $T_n\lam$ are determined. Also radii of close-to-convexity, starlikeness and convexity are determined. Furthermore, integral operators and modified Hadamard products of several functions belonging to the class $Tn\lam$ are studied here.
Weighted Ergodic Averages, M.D. Ha
Weighted Ergodic Averages, M.D. Ha
Turkish Journal of Mathematics
Let $(X, {\cal F}, \lambda)$ be the unit circle $\Bbb S^1 = \{z \in \Bbb C : z = 1\}$ with the usual $\sigma$-algebra ${\cal F}$ of Lebesgue measurable subsets and the normalized Lebesgue measure $\lambda$. Consider a sequence $\nu_n: \Bbb N \ra \Bbb R, \;\; \nu_n(k) \geq 0, \;\; \Sigma^{\infty}_{k=1} \nu_n(k) = 1$. For any measure-preserving $\tau : X \ra X$, this sequence induces a sequence $(T_n)^{\infty}_1$ of bounded, linear operators on $L^p(X), \;\; 1 \leq p \leq \infty$, by defining \[ T_n f = \sum^{\infty}_{k=1} \nu_n(k) \; f \circ \tau^k, \quad n = 1, 2, \ldots . \] …
Cess-Modules, Cesim Çelik
Cess-Modules, Cesim Çelik
Turkish Journal of Mathematics
In this paper, we investigate generalizations of CS-modules, namely CESS-modules, weak CS-modules and modules satisfying a condition (P). Several results are given to show the relationships between the classes of these modules.
The Non Uniform Bounds Of Remainder Term In Clt For The Sum Of Functions Of Uniform Spacings, S. Mirakhmedov, U. Kalandarov
The Non Uniform Bounds Of Remainder Term In Clt For The Sum Of Functions Of Uniform Spacings, S. Mirakhmedov, U. Kalandarov
Turkish Journal of Mathematics
The non uniform bound of the remainder in the central limit theorem for the sums of functions of uniform spacings is established. The bound depend on the moments of functions of the standard exponential random variables.
A Combinatorial Definition Of N-Types Of Simplicial Commutative Algebras, Z. Arvasi, M. Koçak, M. Alp
A Combinatorial Definition Of N-Types Of Simplicial Commutative Algebras, Z. Arvasi, M. Koçak, M. Alp
Turkish Journal of Mathematics
In this paper, we will give a description of the functor from the category of crossed $n$-cubes to that of simplicial commutative algebras and study a commutative algebra version of Loday's theorem on $n$-types of simplicial groups.
The Norm In Taxicab Geometry, Cumali̇ Eki̇ci̇, I. Kocayusufoğlu, Z. Akça
The Norm In Taxicab Geometry, Cumali̇ Eki̇ci̇, I. Kocayusufoğlu, Z. Akça
Turkish Journal of Mathematics
In this paper, we will define the inner-product and the norm in taxicab geometry and then we will discuss this inner-product geometrically.
A New Integrable Reduction Of The Coupled Nls Equation, Mehmet Naci̇ Özer
A New Integrable Reduction Of The Coupled Nls Equation, Mehmet Naci̇ Özer
Turkish Journal of Mathematics
The method of multiple scales is used to derive a new integrable coupled nonlinear Schr\\"odinger equation (CNLS) as an amplitude equation from the coupled nonlinear Klein-Gordon Equation (CNKG). We also give the corresponding spectral problem and further reduce the derived equation into a finite dimensional integrable Hamiltonian system. Finally the integrability of the reduced system is deduced by using a perturbation analysis.
On The Discrete Squeezing Property For Semilinear Wave Equations, A. Eden, V. K. Kalantarov
On The Discrete Squeezing Property For Semilinear Wave Equations, A. Eden, V. K. Kalantarov
Turkish Journal of Mathematics
No abstract provided.
The Tachibana Operator And Transfer Of Lifts, Abdullah Mağden, Muhammet Kamali, Arif A. Salimov
The Tachibana Operator And Transfer Of Lifts, Abdullah Mağden, Muhammet Kamali, Arif A. Salimov
Turkish Journal of Mathematics
The main purpose of this paper is to investigate, using the Tachibana operator, transfer of the complete lifts of affinor structures along the cross-sections of the tangent and cotangent bundles.
On The Validity Of The Borel-Hirzebruch Formula For Topological Actions, D. Dönmez
On The Validity Of The Borel-Hirzebruch Formula For Topological Actions, D. Dönmez
Turkish Journal of Mathematics
We defined an equivalence among group actions and find sufficient conditions for actions of compact connected Lie groups on Euclidean spaces for which the topological version of the Borel-Hirzebruch formula holds.
Timelike Ruled Surfaces In The Minkowski 3-Space-Ii, A. Turgut, H. H. Hacisali̇oğlu
Timelike Ruled Surfaces In The Minkowski 3-Space-Ii, A. Turgut, H. H. Hacisali̇oğlu
Turkish Journal of Mathematics
This paper is devoted to a study of timelike ruled surfaces in three dimensional Minkowski space obtained by a spacelike straight line moving along a timelike curve. The central point, the curve of striction and the distribution parameter of a timelike ruled surface in Minkowski 3-space are considered, and some theorems relating to their structure are obtained. In addition, some results about developable timelike ruled surfaces are also given.
About Some Classical Functional Equations, Nicolae Neamtu
About Some Classical Functional Equations, Nicolae Neamtu
Turkish Journal of Mathematics
The purpose of this paper is to give a new method of finding the solution of Lobashevsky's functional equation and those of other classical functional equations. At the beginning we present the properties of solution $f, \; f \neq 0$, of Lobachevsky's functional equation. Using only the boundedness property on $(-r, r)$, we deduce the continuity, convexity and differentiability properties of the solution.
On Certain Varieties Of Semigroups, A. Tiefenbach
On Certain Varieties Of Semigroups, A. Tiefenbach
Turkish Journal of Mathematics
In this paper we generalize the class of completely regular semigroups (unions of groups) to the class of local monoids, that is the class of all semigroups where the local subsemigroups \( aSa \) are local submonoids. The sublattice of this variety \( (\mathbf{L}(\caL(\cam)) \) covers another lattice isomorphic to the lattice of all bands \( ([x^2 = x]). \) Every bundvariety \( \cau \) has as image the variety \( \Phi - \cau, \) which is the class of all semigroups, where \( \Phi \) is a \( \cau \)-congruence \( (a \Phi b \Leftrightarrow aSa = bSb). \) …
Theorems On Three-Term Relations For Hardy Sum, Y. Şi̇mşek
Theorems On Three-Term Relations For Hardy Sum, Y. Şi̇mşek
Turkish Journal of Mathematics
Some three-term and mixed three-term relations for Hardy sums were given by Goldberg [7]. His proofs are based on Bernd's transformation formulae for the logarithms of the classical Theat-functions. Pettet and Sitaramachandararo [9] proved elementary proofs for all of Goldberg's results and also proved some three-term relations of Dedekind sums. In this paper, some new theorems on three-term relations for hardy sums were found by applying derivative operator to three-term polynomial relation. Furthermore, proofs of the reciprocity relations for Hardy sums are presented in a more concise way from the original proofs of Berndt [2, 3, 4] and Goldberg [7].