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Certain Classes Of Analytic And Multivalent Functions With Negative Coefficients, M. K. Aouf, A. Shamandy, A.A. Attiyia
Certain Classes Of Analytic And Multivalent Functions With Negative Coefficients, M. K. Aouf, A. Shamandy, A.A. Attiyia
Turkish Journal of Mathematics
We introduce a subclass K^{*}_{n+p-1}(A,B) of analytic and p-valent functions with negative coefficients. Coefficient estimates, some properties, distortion theorems and closure theorems of functions belonging to the class K^{*}_{n+p-1}(A,B) are determined. Also we obtain radii of close-to-convexity, starlikeness and convexity for the class K^{*}_{n+p-1}(A,B). We also obtain class preserving integral operator of the form F(z)=\frac{c+p}{z^c}\int_0^{z}t^{c-1}f(t) dt, c> -p for the class K^{*}_{n+p-1}(A,B) Conversely when F(z)\,\, \in K_{n+p-1}^{\star} (A,B) radius of p-valence of f(z) defined by the above equation is obtained.
Weak Forms Of Openness Based Upon Denseness, C. W. Baker
Weak Forms Of Openness Based Upon Denseness, C. W. Baker
Turkish Journal of Mathematics
A function is defined to be hardly open provided that the inverse image of each dense subset of the codomain that is contained in a proper open set is dense in the domain. This form of weak openness is shown to be strictly between near feeble openness and somewhat openness. Characterizations and properties of hardly open functions are presented.
Suborbital Graphs For The Normalizer Of\Gamma_O(N), M. Akbaş, T. Başkan
Suborbital Graphs For The Normalizer Of\Gamma_O(N), M. Akbaş, T. Başkan
Turkish Journal of Mathematics
In this paper we examine some properties of suborbital graphs for the normalizer {\cal N} of \Gamma_{0}(N) in PSL(2,R) and show that, if {\cal N}/\Gamma_{0}(N) and the set of orbit representatives are denoted by B and \Omega respectively, the permutation group (B,\Omega) is regular and m-regular where m is an odd natural number.
On Homogeneous Riemann Boundary Value Problem, K. Kutlu
On Homogeneous Riemann Boundary Value Problem, K. Kutlu
Turkish Journal of Mathematics
In this work we consider homogeneous Riemann boundary value problem (BVP) on general open rectifiable curves. We prove certain estimates for Cauchy type integrals in terms of local moduli of continuity and local maximum of modulus, which allow us to describe the solvability of Riemann BVP with unbounded oscillating coefficients on a wide class of non-smooth rectifiable Jordan curves.
On Strongly Regular Rings, A. Kaya, F. Kuzucuoğlu
On Strongly Regular Rings, A. Kaya, F. Kuzucuoğlu
Turkish Journal of Mathematics
Some characterizations of strongly regular rings will be given. Let R be a ring and I(\neq R) a right ideal of R. If, for each pair of right ideals A and B of R, AB \subseteq I implies that either A \subseteq I or B \subseteq I, then I is called a prime right ideal (or equivalently, if aRb \ \ \not\subseteq I whenever a and b do not belong to I). I is strongly prime right ideal if, for each pair of a and b in R, aIb \subseteq I and ab \in I imply that either a \in …
Weak\Star- Invariantly Complemented Subspaces Of L^{\Infty}(1/\Omega) And Ideals Of L^{1}(\Omega) With A Bounded Approximate Identity, Z. Argün, C. Tonyali
Weak\Star- Invariantly Complemented Subspaces Of L^{\Infty}(1/\Omega) And Ideals Of L^{1}(\Omega) With A Bounded Approximate Identity, Z. Argün, C. Tonyali
Turkish Journal of Mathematics
For a locally compact group G let L^{1}(\omega) be the weighted group algebra and let X be a weak \star-closed translation invariant subspace of L^{\infty} (1/\omega). In this paper for a certain class of functions we show that the following conditions are equivalent: (i) X is topological invariantly complemented in L^{\infty}(1/\omega); (ii) X is invariantly complemented in L^{\infty}(1/\omega); (iii) The left ideal X_{\perp} has a bounded right approximate identity.
Extension Of Caristi-Kirk's Theorem, M. O. Diallo, M. Oudadess
Extension Of Caristi-Kirk's Theorem, M. O. Diallo, M. Oudadess
Turkish Journal of Mathematics
We give some extensions and/or improvements, to uniform spaces and to multi-valued mappings, of Caristi-Kirk's theorem.
Normal Boundary Value Problems For Differential Equations Of Higher Order, F. G. Maksudov, Z. I. Ismailov
Normal Boundary Value Problems For Differential Equations Of Higher Order, F. G. Maksudov, Z. I. Ismailov
Turkish Journal of Mathematics
In this work the arbitrary order differential operator expression of the form \imath (u) = \frac{\partial u (t)}{\partial t^n}+Au(t), where A is a bounded normal operator in the Hilbert Space H is considered in the Hilbert Space of vector functions L_2(H(0,1)). This paper describes all normal boundary value problem for the indicated diferential expression in terms of abstnract boundary conditions and determines a connection with other typea of boundary value problems.
T_2-Objects In Categories Of Filter And Local Filter Convergence Spaces, M. Baran
T_2-Objects In Categories Of Filter And Local Filter Convergence Spaces, M. Baran
Turkish Journal of Mathematics
There are various generalizations of the usual T_2 (Hausdorff) axiom of topology to an arbitrary topological category defined in [1]. In this paper, four more new generalizations of Hausdorff spaces are given in the topological categories. Moreover, the relationships among all of these T_2 structures and the ones given in [5] and [7] as well as some invariance properties of them are investigated in the categories of filter and local filter convergence spaces. Keywords: Topological Categories, T_2-objects, Filter Convergence Spaces.
On Conformally Flat Lorentzian Spaces Satisfying A Certain Condition On The Curvature Tensor, M. Erdoğan
On Conformally Flat Lorentzian Spaces Satisfying A Certain Condition On The Curvature Tensor, M. Erdoğan
Turkish Journal of Mathematics
In this paper we prove a local classification theorem for the conformally flat lorentzian spaces satisfying the condition R(X,Y)R=0.
On The Additive Group Structure Of Nonstandard Models Of Z, Ç. Gencer, M. Terzi̇ler
On The Additive Group Structure Of Nonstandard Models Of Z, Ç. Gencer, M. Terzi̇ler
Turkish Journal of Mathematics
Let \hat{Z} denote the inverse limit of finite cyclic groups and F_gZ the group where $F$ is a vector space over Q and + is defined by (a, x)+(b, y)=(a+b, x+y+g(a,b)) for some g: F\times F\rightarrow Z. In this paper we show that any nonstandard model Z^{\star} of Z is isomorphic to F_{\beta}Z for some \beta: F\rightarrow \hat{Z} where F=Z^{\star}/Z.
A Note On Double Sequences Of Fuzzy Numbers, E. Savaş
A Note On Double Sequences Of Fuzzy Numbers, E. Savaş
Turkish Journal of Mathematics
In this paper we introduce double convergent sequences of fuzzy numbers and we also study the space of double convergent sequences of fuzzy numbers.
Rings In Which Strongly Prime Right Ideals Are Finitely Generated, A. Kaya
Rings In Which Strongly Prime Right Ideals Are Finitely Generated, A. Kaya
Turkish Journal of Mathematics
Some properties of rings in which every strongly prime right ideal is finitely generated will be investigated, and sufficient conditions for such rings to be right noetherian will be given. Let R be an s-unital ring (i.e., a\in aR\cap Ra for each a\in R) and I(\neq R)a right ideal of R. If, for each right ideals A and B of R, AB\subseteq I implies that either A\subseteq I or B\subseteq I, then I is called a prime right ideal (or equivalently, if a\, R\,b \not\subseteq I whenever a and b do not belong to I). I is strongly prime if, …
A Property Of Meldrum Groups, A. O. Asar, S. Atlihan
A Property Of Meldrum Groups, A. O. Asar, S. Atlihan
Turkish Journal of Mathematics
In this work it is shown that the direct product of two Meldrum groups does not satisfy the normalizer condition. It is not known yet if the same result holds true for any two HM-groups.
The Group Structure Of Hecke Groups H(\Lambda_Q), İ. N. Cangül
The Group Structure Of Hecke Groups H(\Lambda_Q), İ. N. Cangül
Turkish Journal of Mathematics
In this work a new proof of the fact that the group structure of the Hecke groups is isomorphic to the free product of two cyclic groups of orders 2 and q is given The method used in the proof requires a result of A.M. Macbeath together with the notion of fundamental region. Also given are some new results on the parabolic points of Hecke groups, which still is an open problem.
Absolutely Representing Systems And Convolution Operators In The Complex Domain, Yu. F. Korobeinik
Absolutely Representing Systems And Convolution Operators In The Complex Domain, Yu. F. Korobeinik
Turkish Journal of Mathematics
The author suggests a method of characterizing of the kernel of a convolution-type operator. The method is based on the exact description of nontrivial expansions of zero of an absolutely representing system consisting of eigen vectors of some linear operator with continuous spectrum. The method suggested in the paper is applied to the characterization of the kernel of the convolution-type operator defined on some space of entire functions and to the factorization of such an operator.
(\Sigma, \Tau)- Lie Ideals In Prime Rings With Derivation, M. Soytürk
(\Sigma, \Tau)- Lie Ideals In Prime Rings With Derivation, M. Soytürk
Turkish Journal of Mathematics
Let R be a prime ring, char R\neq 2,3 \, \sigma, \tau : R\rightarrow R two automorphisms, U a nonzero (\sigma, \tau)- Lie ideal of R and o\neq d : R\rightarrow R$ a derivation such that \sigma d = d\sigma, \tau d = d\tau. In this paper we have proved the following results. (1) If d (U) \subset Z then U\subset Z (2) If d(U) \subset U and d^2 (U) \subset Z then U\subset Z.
On Homotopic, Non--Isomorphic Tight Contact Structures On 3-Manifolds, Paolo Lisca, Gordana Matic
On Homotopic, Non--Isomorphic Tight Contact Structures On 3-Manifolds, Paolo Lisca, Gordana Matic
Turkish Journal of Mathematics
No abstract provided.
A Survey Of Symplectic 4-Manifolds With B^+ = 1, Dusa Mcduff, Dietmar Salamon
A Survey Of Symplectic 4-Manifolds With B^+ = 1, Dusa Mcduff, Dietmar Salamon
Turkish Journal of Mathematics
No abstract provided.
Removable Singularities And A Vanishing Theorem For Seiberg-Witten Invariants, Dietmar Salamon
Removable Singularities And A Vanishing Theorem For Seiberg-Witten Invariants, Dietmar Salamon
Turkish Journal of Mathematics
No abstract provided.
Higher Genus Symplectic Invariants And Sigma Model Coupled With Gravity, Yongbin Ruan, Gang Tian
Higher Genus Symplectic Invariants And Sigma Model Coupled With Gravity, Yongbin Ruan, Gang Tian
Turkish Journal of Mathematics
No abstract provided.
Akbulut's Corks And H-Cobordisms Of Smooth, Simply Connected 4-Manifolds, Rob Kirby
Akbulut's Corks And H-Cobordisms Of Smooth, Simply Connected 4-Manifolds, Rob Kirby
Turkish Journal of Mathematics
No abstract provided.
Contact Structures And Foliations On 3-Manifolds, Yakov M. Eliashberg, William P. Thurston
Contact Structures And Foliations On 3-Manifolds, Yakov M. Eliashberg, William P. Thurston
Turkish Journal of Mathematics
No abstract provided.
Lectures On Seiberg-Witten Invariants, Selman Akbulut
Lectures On Seiberg-Witten Invariants, Selman Akbulut
Turkish Journal of Mathematics
No abstract provided.
The Multi-Monopole Equations For K\"Ahler Surfaces, James A. Bryan, Richard Wentworth
The Multi-Monopole Equations For K\"Ahler Surfaces, James A. Bryan, Richard Wentworth
Turkish Journal of Mathematics
The purpose of this paper is to introduce a natural generalization of the Seiberg-Witten equations having more than one Spinor field ("monopole") and to study the moduli space of solutions in the case of a K\"ahler surface. We find an explicit algebro-geometric construction of the moduli space. In the course of our construction, we prove an existence and uniqueness result for a generalization of the Kazdan-Warner equation.
The Minimal Genus Of An Embedded Surface Of Non-Negative Square In A Rational Surface, Daniel Ruberman
The Minimal Genus Of An Embedded Surface Of Non-Negative Square In A Rational Surface, Daniel Ruberman
Turkish Journal of Mathematics
No abstract provided.
Star Topological Groupoids, O. Mucuk
Star Topological Groupoids, O. Mucuk
Turkish Journal of Mathematics
In [4] a construction on topological groups was given. In this paper we generalize this costruction to more general topological groupoids and have a similar structure on the topological groupodis.
A Note On Intuitionistic Sets And Intuitionistic Points, D. Çoker
A Note On Intuitionistic Sets And Intuitionistic Points, D. Çoker
Turkish Journal of Mathematics
The purpose of this note is to define the so-called "intuitionistic sets" and "intuitionistic points", and obtain their fundamental properties.
A Note On The Geography Of Symplectic Manifolds, Andras Stipsicz
A Note On The Geography Of Symplectic Manifolds, Andras Stipsicz
Turkish Journal of Mathematics
No abstract provided.
Operations With The Periodic Decimal Expansions, H. Ardahan
Operations With The Periodic Decimal Expansions, H. Ardahan
Turkish Journal of Mathematics
In this paper, we prove the rules of direct addition and subtraction for the finite decimal expansions of fractions which are periodic. It has been shown that these rules are valid for the fractions which can be expanded as a periodic decimal with p figures in the period or have the mixed decimal part containing \nu non-periodic and p periodic figures. Also, it has been given a rule of multiplication for these periodic decimals by 10^{\nu}, \nu\in\Bbb N. Last of all, if a rational fraction has a period of length p, then it can be expressed by a decimal expansion, …