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- Keyword
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- Minkowski space (2)
- Positive linear operator (2)
- A generalized relaxed elastic line (1)
- Absolute irreducibility (1)
- Almost Q-module (1)
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- Almost Q-ring (1)
- Analytic function (1)
- Approximate m-order derivation (1)
- Bernstein power series (1)
- C1-module (1)
- Carmichael function (1)
- Catalan numbers (1)
- Cheeger-Gromoll metric (1)
- Closed submodule (1)
- Closed submodule. (1)
- Constant angle surfaces (1)
- Contact three-manifold with convex boundary (1)
- Continued fractions (1)
- Contranormal subgroups (1)
- Cubic functional equation (1)
- Degree of approximation. (1)
- Delay differential equations (1)
- Descending subgroups (1)
- Differential subordination (1)
- EH-contact class. (1)
- Equi-statistical convergence (1)
- Euclidean space (1)
- Existence of generalized solution (1)
- First and second order modulus of continuities (1)
- Fixed point theorem (1)
Articles 1 - 30 of 40
Full-Text Articles in Physical Sciences and Mathematics
Oscillation Of Nonlinear Neutral Delay Differential Equations Of Second-Order With Positive And Negative Coefficients, Mustafa Kemal Yildiz, Başak Karpuz, Özkan Öcalan
Oscillation Of Nonlinear Neutral Delay Differential Equations Of Second-Order With Positive And Negative Coefficients, Mustafa Kemal Yildiz, Başak Karpuz, Özkan Öcalan
Turkish Journal of Mathematics
Some oscillation criteria for the following second-order neutral differential equation [x(t)\pm r(t) f( x(t-\gamma))]''+p(t) g(x(t-\alpha)) -q(t) g(x(t-\beta )) = s(t) where t\geq t_0, \gamma,\alpha,\beta \in R^+ with \alpha \geq \beta, r \in C^2([t_0,\infty ), R^+) , p,q\in C([t_0,\infty ),R^+) and f,g\in C(R,R), s\in C([ t_0,\infty),R) have been obtained. Our results are not restricted with boundedness of solutions.
Some Properties Of The First Eigenvalue Of The $P(X)$-Laplacian On Riemannian Manifolds, R. A. Mashiyev, Guli̇zar Ali̇soy, Sezai̇ Ogras
Some Properties Of The First Eigenvalue Of The $P(X)$-Laplacian On Riemannian Manifolds, R. A. Mashiyev, Guli̇zar Ali̇soy, Sezai̇ Ogras
Turkish Journal of Mathematics
The main result of the present paper establishes a stability property of the first eigenvalue of the associated problem which deals with the $p(x)$-Laplacian on Riemannian manifolds with Dirichlet boundary condition.
Solutions For 2n^{Th} Order Lidstone Bvp On Time Scales, Erbi̇l Çeti̇n, S. Gülşan Topal
Solutions For 2n^{Th} Order Lidstone Bvp On Time Scales, Erbi̇l Çeti̇n, S. Gülşan Topal
Turkish Journal of Mathematics
In this paper, we prove the existence of solutions for nonlinear Lidstone boundary value problems by using the monotone method on time scale and also we show the existence of at least one positive solution if f is either superlinear or sublinear by the fixed point theorem in a Banach space.
Stack-Sortable Permutations And Polynomials, İsmai̇l Ş. Güloğlu, Cemal Koç
Stack-Sortable Permutations And Polynomials, İsmai̇l Ş. Güloğlu, Cemal Koç
Turkish Journal of Mathematics
The Catalan numbers show up in a diverse variety of counting problems. In this note we give yet another characterization of the Catalan number C(n). It is characterized as the dimension of a certain space of multilinear polynomials by exhibiting a basis.
Values Of The Carmichael Function Equal To A Sum Of Two Squares, William D. Banks, Ahmet M. Güloğlu
Values Of The Carmichael Function Equal To A Sum Of Two Squares, William D. Banks, Ahmet M. Güloğlu
Turkish Journal of Mathematics
In this note, we determine the order of growth of the number of positive integers n \le x such that \lambda(n) is a sum of two square numbers, where \lambda(n) is the Carmichael function.
On \Phi-Recurrent Kenmotsu Manifolds, Uday Chand De, Ahmet Yildiz, Funda Yaliniz
On \Phi-Recurrent Kenmotsu Manifolds, Uday Chand De, Ahmet Yildiz, Funda Yaliniz
Turkish Journal of Mathematics
The object of this paper is to study \phi-recurrent Kenmotsu manifolds. Also three-dimensional locally \phi-recurrent Kenmotsu manifolds have been considered. Among others it is proved that a locally \phi-recurrent Kenmotsu spacetime is the Robertson-Walker spacetime. Finally we give a concrete example of a three-dimensional Kenmotsu manifold.
Multiple Positive Solutions For Nonlinear Third-Order Boundary Value Problems In Banach Spaces, Feng Wang, Hai-Hua Lu, Fang Zhang
Multiple Positive Solutions For Nonlinear Third-Order Boundary Value Problems In Banach Spaces, Feng Wang, Hai-Hua Lu, Fang Zhang
Turkish Journal of Mathematics
This paper deals with the positive solutions of nonlinear boundary value problems in Banach spaces. By using fixed point index theory, some sufficient conditions for the existence of at least one or two positive solutions to boundary value problems in Banach spaces are obtained. An example illustrating the main results is given.
Stability Of An Euler-Lagrange Type Cubic Functional Equation, Abbas Najati, Fridoun Moradlou
Stability Of An Euler-Lagrange Type Cubic Functional Equation, Abbas Najati, Fridoun Moradlou
Turkish Journal of Mathematics
In this paper, we will find out the general solution and investigate the generalized Hyers-Ulam-Rassias stability problem for an Euler-Lagrange type cubic functional equation 2mf(x+my)+2f(mx-y)=(m^3+m)[f(x+y)+f(x-y)]+2(m^4-1)f(y) in Banach spaces and in left Banach modules over a unital Banach *-algebra for a fixed integer m with m\neq0,\pm1.
Cartan Calculus On The Quantum Space R_Q^3, Sali̇h Çeli̇k, E. Mehmet Özkan, Ergün Yaşar
Cartan Calculus On The Quantum Space R_Q^3, Sali̇h Çeli̇k, E. Mehmet Özkan, Ergün Yaşar
Turkish Journal of Mathematics
To give a Cartan calculus on the extended quantum 3d space, the noncommutative differential calculus on the extended quantum 3d space is extended by introducing inner derivations and Lie derivatives.
Applications Of The Golden Ratio On Riemannian Manifolds, Cristina-Elena Hretcanu, Mircea Craşmareanu
Applications Of The Golden Ratio On Riemannian Manifolds, Cristina-Elena Hretcanu, Mircea Craşmareanu
Turkish Journal of Mathematics
The Golden Ratio is a fascinating topic that continually generates new ideas. The main purpose of the present paper is to point out and find some applications of the Golden Ratio and of Fibonacci numbers in Differential Geometry. We study a structure defined on a class of Riemannian manifolds, called by us a Golden Structure. A Riemannian manifold endowed with a Golden Structure will be called a Golden Riemannian manifold. Precisely, we say that an (1,1)-tensor field \widetilde{P} on a m-dimensional Riemannian manifold (\widetilde{M}, \widetilde{g}) is a Golden Structure if it satisfies the equation \widetilde{P}^{2}=\widetilde{P}+I (which is similar to that …
Oscillation Of Higher-Order Nonlinear Delay Differential Equations With Oscillatory Coefficients, Başak Karpuz, Özkan Öcalan, Mustafa Kemal Yildiz
Oscillation Of Higher-Order Nonlinear Delay Differential Equations With Oscillatory Coefficients, Başak Karpuz, Özkan Öcalan, Mustafa Kemal Yildiz
Turkish Journal of Mathematics
A criterion is established on the bounded solutions of type higher-order nonlinear neutral differential equations of type oscillatory or tending to zero at infinity [a(t) [x(t)+r(t)x(\kappa(t))]^{(n-1]' +p(t)F(x(\tau(t)))+q(t)G(x(\sigma(t)))= \phi(t), where t\geq t_0, n\geq 2, a,p are positive, r,q,\phi are allowed to alternate in sign infinitely many times, F,G are continuous functions, and \kappa,\tau,\sigma are strictly increasing unbounded continuous delay functions.
Approximation By Certain Linear Operators Preserving X^2, Lucyna Rempulska, Karolina Tomczak
Approximation By Certain Linear Operators Preserving X^2, Lucyna Rempulska, Karolina Tomczak
Turkish Journal of Mathematics
We investigate certain positive linear operators L_n preserving the functions e_k (x)=x^k, k=0, 1, and modified operators L_n^* which preserve e_0 and e_2. We show that the error of approximation of f by L_n^* (f) is smaller than for L_n(f).
Integral And Homothetic Indecomposability With Applications To Irreducibility Of Polynomials, Fati̇h Koyuncu, Ferruh Özbudak
Integral And Homothetic Indecomposability With Applications To Irreducibility Of Polynomials, Fati̇h Koyuncu, Ferruh Özbudak
Turkish Journal of Mathematics
Being motivated by some methods for construction of homothetically indecomposable polytopes, we obtain new methods for construction of families of integrally indecomposable polytopes. As a result, we find new infinite families of absolutely irreducible multivariate polynomials over any field F. Moreover, we provide different proofs of some of the main results of Gao [2].
A Note On The Lévy Constant For Continued Fractions, Ting Zhong
A Note On The Lévy Constant For Continued Fractions, Ting Zhong
Turkish Journal of Mathematics
In this note, we study the lévy constant of continued fraction expansions. We show that for all x \in [0,1), the upper lévy constant of x is finite except a set with Hausdorff dimension one-half.
On Completeness Of Elementary Generalized Solutions Of A Class Of Operator-Differential Equations Of A Higher Order, Rovshan Z. Gumbataliev
On Completeness Of Elementary Generalized Solutions Of A Class Of Operator-Differential Equations Of A Higher Order, Rovshan Z. Gumbataliev
Turkish Journal of Mathematics
In this paper we give definition of m-fold completeness and prove a theorem on completeness of elementary generalized solution of corresponding boundary value problems at which the equation describes the process of corrosive fracture of metals in aggressive media and the principal part of the equation has multiple characteristics.
Existence And Uniqueness Theorem For Slant Immersions In Kenmotsu Space Forms, Pradeep Kumar Pandey, Ram Shankar Gupta
Existence And Uniqueness Theorem For Slant Immersions In Kenmotsu Space Forms, Pradeep Kumar Pandey, Ram Shankar Gupta
Turkish Journal of Mathematics
In this paper we have obtained a general existence as well as uniqueness theorem for slant immersions into a Kenmotsu-space form.
Lebesgue-Stieltjes Measure On Time Scales, Asli Deni̇z, Ünal Ufuktepe
Lebesgue-Stieltjes Measure On Time Scales, Asli Deni̇z, Ünal Ufuktepe
Turkish Journal of Mathematics
The theory of time scales was introduced by Stefan Hilger in his Ph. D. thesis in 1988, supervised by Bernd Auldbach, in order to unify continuous and discrete analysis [5]. Measure theory on time scales was first constructed by Guseinov [4], then further studies were made by Guseinov-Bohner [1], Cabada-Vivero [2] and Rzezuchowski [6]. In this article, we adapt the concept of Lebesgue-Stieltjes measure to time scales. We define Lebesgue-Stieltjes \Delta and \nabla-measures and by using these measures, we define an integral adapted to time scales, specifically Lebesgue-Stieltjes \Delta-integral. We also establish the relation between Lebesgue-Stieltjes measure and Lebesgue-Stieltjes \Delta-measure, …
Korovkin Type Error Estimates For Positive Linear Operators Involving Some Special Functions, Ogün Doğru, Esra Erkuş-Duman
Korovkin Type Error Estimates For Positive Linear Operators Involving Some Special Functions, Ogün Doğru, Esra Erkuş-Duman
Turkish Journal of Mathematics
In the present paper, we introduce a new sequence of linear positive operators with the help of generating functions. We obtain some Korovkin type approximation properties for these operators and compute rates of convergence by means of the first and second order modulus of continuities and Peetre´s K-functional. In order to obtain explicit expressions for the first and second moment of our operators, we obtain a functional differential equation including our operators. Furthermore, we deal with a modification of our operators converging to integral of function f on the interval (0,1).
Strong Convergence Theorems By An Extragradient Method For Solving Variational Inequalities And Equilibrium Problems In A Hilbert Space, Poom Kumam
Turkish Journal of Mathematics
In this paper, we introduce an iterative process for finding the common element of the set of fixed points of a nonexpansive mapping, the set of solutions of an equilibrium problem and the set of solutions of the variational inequality for monotone, Lipschitz-continuous mappings. The iterative process is based on the so-called extragradient method. We show that the sequence converges strongly to a common element of the above three sets under some parametric controlling conditions. This main theorem extends a recent result of Yao, Liou and Yao [Y. Yao, Y. C. Liou and J.-C. Yao, ''An Extragradient Method for Fixed …
Geodesics Of The Cheeger-Gromoll Metric, Ari̇f A. Salimov, S. Kazimova
Geodesics Of The Cheeger-Gromoll Metric, Ari̇f A. Salimov, S. Kazimova
Turkish Journal of Mathematics
The main purpose of the paper is to investigate geodesics on the tangent bundle with respect to the Cheeger-Gromoll metric.
On Symmetric Monomial Curves In P^3, Mesut Şahi̇n
On Symmetric Monomial Curves In P^3, Mesut Şahi̇n
Turkish Journal of Mathematics
In this paper, we give an elementary proof of the fact that symmetric arithmetically Cohen-Macaulay monomial curves are set-theoretic complete intersections. The proof is constructive and provides the equations of the surfaces cutting out the monomial curve.
Modules With Unique Closure Relative To A Torsion Theory Ii, Semra Doğruöz, Abdullah Harmanci, Patrick F. Smith
Modules With Unique Closure Relative To A Torsion Theory Ii, Semra Doğruöz, Abdullah Harmanci, Patrick F. Smith
Turkish Journal of Mathematics
We study modules M over a general ring R such that every submodule has a unique closure with respect to a hereditary torsion theory \tau on Mod-R using the fact that the module M satisfies a certain transitivity property on \tau-closed submodules.
On \Tau-Lifting Modules And \Tau-Semiperfect Modules, Mustafa Alkan
On \Tau-Lifting Modules And \Tau-Semiperfect Modules, Mustafa Alkan
Turkish Journal of Mathematics
Motivated by [1], we study on \tau-lifting modules (rings) and \tau-semiperfect modules (rings) for a preradical \tau and give some equivalent conditions. We prove that; i) if M is a projective \tau-lifting module with \tau(M) \subseteq \delta(M), then M has the finite exchange property; ii) if R is a left hereditary ring and \tau is a left exact preradical, then every \tau-semiperfect module is \tau--lifting; iii) R is \tau-lifting if and only if every finitely generated free module is \tau-lifting if and only if every finitely generated projective module is \tau-lifting; iv) if \tau (R) \subseteq \delta (R), then R …
The Existence Of Triple Positive Solutions Of Nonlinear Four-Point Boundary Value Problem With P-Laplacian, Xiang-Feng Li, Pei-Hao Zhao
The Existence Of Triple Positive Solutions Of Nonlinear Four-Point Boundary Value Problem With P-Laplacian, Xiang-Feng Li, Pei-Hao Zhao
Turkish Journal of Mathematics
This paper deals with the multiplicity results of positive solutions of one-dimensional singular p-Laplace equation (\varphi_p(u'(t)))'+a(t)f(t,u(t),u'(t))=0, 0
Perturbation Of Closed Range Operators, Mohammad Sal Moslehian, Ghadir Sadeghi
Perturbation Of Closed Range Operators, Mohammad Sal Moslehian, Ghadir Sadeghi
Turkish Journal of Mathematics
Let T, A be operators with domains D(T) \subseteq D(A) in a normed space X. The operator A is called T-bounded if Ax \leq a x +b Tx for some a, b\geq 0 and all x \in D(T). If A has the Hyers--Ulam stability then under some suitable assumptions we show that both T and S: = A+T have the Hyers--Ulam stability. We also discuss the best constant of Hyers--Ulam stability for the operator S. Thus we establish a link between T-bounded operators and Hyers--Ulam stability.
Modified Szász-Mirakjan-Kantorovich Operators Preserving Linear Functions, Oktay Duman, Mehmet Ali̇ Özarslan, Biancamaria Della Vecchia
Modified Szász-Mirakjan-Kantorovich Operators Preserving Linear Functions, Oktay Duman, Mehmet Ali̇ Özarslan, Biancamaria Della Vecchia
Turkish Journal of Mathematics
In this paper, we introduce a modification of the Szász-Mirakjan-Kantorovich operators, which preserve the linear functions. This type of operator modification enables better error estimation on the interval [1/2,+\infty) than the classical Szász-Mirakjan-Kantorovich operators. We also obtain a Voronovskaya-type theorem for these operators.
Equi-Statistical Extension Of The Korovkin Type Approximation Theorem, Sevda Karakuş, Kami̇l Demi̇rci̇
Equi-Statistical Extension Of The Korovkin Type Approximation Theorem, Sevda Karakuş, Kami̇l Demi̇rci̇
Turkish Journal of Mathematics
In this paper using equi-statistical convergence, which is stronger than the usual uniform convergence and statistical uniform convergence, we obtain a general Korovkin type theorem. Then, we construct examples such that our new approximation result works but its classical and statistical cases do not work.
A New Approach On Constant Angle Surfaces In E^3, Marian Ioan Munteanu, Ana Irina Nistor
A New Approach On Constant Angle Surfaces In E^3, Marian Ioan Munteanu, Ana Irina Nistor
Turkish Journal of Mathematics
In this paper we study constant angle surfaces in Euclidean 3--space. Even that the result is a consequence of some classical results involving the Gauss map (of the surface), we give another approach to classify all surfaces for which the unit normal makes a constant angle with a fixed direction.
Local Fourier Bases And Ultramodulation Spaces, Salti Samarah, Fady Hasan
Local Fourier Bases And Ultramodulation Spaces, Salti Samarah, Fady Hasan
Turkish Journal of Mathematics
It was proved that local Fourier bases are unconditional bases for modulation spaces M_{p.q}^w. We prove that the local Fourier bases are unconditional bases for ultramodulation spaces M_p^{w_{\gamma}}=M_{p.p}^{w_{\gamma}}, where 0
Some Properties Of Gr-Multiplication Ideals, Hani Khashan
Some Properties Of Gr-Multiplication Ideals, Hani Khashan
Turkish Journal of Mathematics
In this paper, we study some of the properties of gr-multiplication ideals in a graded ring R. We first characterize finitely generated gr-multiplication ideals and then give a characterization of gr-multiplication ideals by using the gr-localization of R. Finally we determine the set of gr-P-primary ideals of R when P is a gr-multiplication gr-prime ideal of R.