New Inequalities For Fractional Integrals And Their Applications,
2016
TÜBİTAK
New Inequalities For Fractional Integrals And Their Applications, Hsiow Ru Hwang, Kuei Lin Tseng, Kai Chen Hsu
Turkish Journal of Mathematics
In this paper, we establish some Hermite--Hadamard-type, Bullen-type, and Simpson-type inequalities for fractional integrals. Some applications for the beta function are also given.
The Inclusion Theorems For Variable Exponent Lorentz Spaces,
2016
TÜBİTAK
The Inclusion Theorems For Variable Exponent Lorentz Spaces, Öznur Kulak
Turkish Journal of Mathematics
Let $\left( \text{X,}\Sigma ,\mu \right) $ and $\left( \text{X,}\Sigma ,\nu \right) $ be measure spaces. Assume that $L^{p_{1}\left( .\right) ,q_{1}\left( .\right) }\left( X,\mu \right) $ and $L^{p_{2}\left( .\right) ,q_{2}\left( .\right) }\left( X,\nu \right) $ are two variable exponent Lorentz spaces where $p,q\in P_{0}\left( \left[ 0,l\right] \right) $. In this paper we investigated the existence of the inclusion $L^{p_{1}\left( .\right) ,q_{1}\left( .\right) }\left( X,\mu \right) $ $\subset L^{p_{2}\left( .\right) ,q_{2}\left( .\right) }\left( X,\nu \right) $ under what conditions for two measures $\mu $ and $\nu $ on $\left( X,\Sigma \right) .$
Point-Wise Slant Submanifolds In Almost Contact Geometry,
2016
TÜBİTAK
Point-Wise Slant Submanifolds In Almost Contact Geometry, Mohammad Bagher Kazemi Balgeshir
Turkish Journal of Mathematics
In this paper, we introduce point-wise slant submanifolds of almost contact and almost contact 3-structure manifolds. We characterize them, give some examples, and obtain necessary and sufficient conditions for a point-wise slant submanifold of a 3-Sasakian manifold to be a slant submanifold. Moreover, we show that there exist no proper Sasakian point-wise 3-slant submanifolds.
Projective Crossed Modules Of Algebras And Cyclic Homology,
2016
TÜBİTAK
Projective Crossed Modules Of Algebras And Cyclic Homology, Eli̇f Ilgaz
Turkish Journal of Mathematics
In this work, we give a characterization of free crossed modules and also get a relation between projective crossed modules and the cyclic homology of associative algebras by using Hopf-type formulas.
Pseudospectral Operational Matrix For Numerical Solution Of Single And Multiterm Time Fractional Diffusion Equation,
2016
TÜBİTAK
Pseudospectral Operational Matrix For Numerical Solution Of Single And Multiterm Time Fractional Diffusion Equation, Saeid Gholami, Esmail Babolian, Mohammad Javidi
Turkish Journal of Mathematics
This paper presents a new numerical approach to solve single and multiterm time fractional diffusion equations. In this work, the space dimension is discretized to the Gauss$-$Lobatto points. We use the normalized Grunwald approximation for the time dimension and a pseudospectral successive integration matrix for the space dimension. This approach shows that with fewer numbers of points, we can approximate the solution with more accuracy. Some examples with numerical results in tables and figures displayed.
Uniqueness Of Entire Graphs In Riemannian Warped Products,
2016
TÜBİTAK
Uniqueness Of Entire Graphs In Riemannian Warped Products, Junhong Dong, Ximin Liu
Turkish Journal of Mathematics
In this paper, by applying the generalized Omori-Yau maximum principle for complete spacelike hypersurfaces in warped product spaces, we obtain the sign relationship between the derivative of warping function and support function. Afterwards, by using this result and imposing suitable restrictions on the higher order mean curvatures, we establish uniqueness results for the entire graph in a Riemannian warped product space, which has a strictly monotone warping function. Furthermore, applications to such a space are given.
Multiple Positive Solutions Of Nonlinear $M$-Point Dynamic Equations For $P$-Laplacian On Time Scales,
2016
TÜBİTAK
Multiple Positive Solutions Of Nonlinear $M$-Point Dynamic Equations For $P$-Laplacian On Time Scales, Abdülkadi̇r Doğan
Turkish Journal of Mathematics
In this paper, we study the existence of positive solutions of a nonlinear $ m $-point $p$-Laplacian dynamic equation $$(\phi_p(x^\Delta(t)))^\nabla+w(t)f(t,x(t),x^\Delta(t))=0,\hspace{2cm} t_1< t 1.$ Sufficient conditions for the existence of at least three positive solutions of the problem are obtained by using a fixed point theorem. The interesting point is the nonlinear term $f$ is involved with the first order derivative explicitly. As an application, an example is given to illustrate the result.
The Generalized Reciprocal Super Catalan Matrix,
2016
TÜBİTAK
The Generalized Reciprocal Super Catalan Matrix, Emrah Kiliç, Talha Arikan
Turkish Journal of Mathematics
The reciprocal super Catalan matrix studied by Prodinger is further generalized, introducing two additional parameters. Explicit formulae are derived for the $LU$-decomposition and their inverses, as well as the Cholesky decomposition. The approach is to use $q$-analysis and to leave the justification of the necessary identities to the $q$-version of Zeilberger's celebrated algorithm.
Harmonic Functions And Quadratic Harmonic Morphisms On Walker Spaces,
2016
TÜBİTAK
Harmonic Functions And Quadratic Harmonic Morphisms On Walker Spaces, Cornelia-Livia Bejan, Simona-Luiza Druta-Romaniuc
Turkish Journal of Mathematics
Let $(W,q, \mathcal{D})$ be a 4-dimensional Walker manifold. After providing a characterization and some examples for several special $(1,1)$-tensor fields on $(W,q, \mathcal{D})$, we prove that the proper almost complex structure $J$, introduced by Matsushita, is harmonic in the sense of Garcia-Rio et al. if and only if the almost Hermitian structure $(J,q)$ is almost Kahler. We classify all harmonic functions locally defined on $(W,q, \mathcal{D})$. We deal with the harmonicity of quadratic maps defined on $\mathbb{R}^4$ (endowed with a Walker metric $q$) to the $n$-dimensional semi-Euclidean space of index $r$, and then between local charts of two 4-dimensional Walker …
Problems In Matricially Derived Solid Banach Sequence Spaces,
2016
TÜBİTAK
Problems In Matricially Derived Solid Banach Sequence Spaces, Peter D. Johnson, Faruk Polat
Turkish Journal of Mathematics
Let $\mathbb{F}^\mathbb{N}$ denote the vector space of all scalar sequences. If $A$ is an infinite matrix with nonnegative entries and $\lambda$ is a solid subspace of $\mathbb{F}^\mathbb{N}$, then $ sol-A^{-1}(\lambda)=\{x\in \mathbb{F}^\mathbb{N} : A x \in \lambda\} $ is also a solid subspace of $\mathbb{F}^\mathbb{N}$ that, under certain conditions on $A$ and $\lambda$, inherits a solid topological vector space topology from any such topology on $\lambda$. Letting $\Lambda_0=\lambda$ and $\Lambda_m=sol-A^{-1}(\Lambda_{m-1})$ for $m>0$, we derive an infinite sequence $\Lambda_0, \Lambda_1, \Lambda_2,...$ of solid subspaces of $\mathbb{F}^\mathbb{N}$ from the inputs $A$ and $\lambda$. For $A$ and $\lambda$ confined to certain classes, we …
A Characterization Of Derivations On Uniformly Mean Value Banach Algebras,
2016
TÜBİTAK
A Characterization Of Derivations On Uniformly Mean Value Banach Algebras, Amin Hosseini
Turkish Journal of Mathematics
In this paper, a uniformly mean value Banach algebra (briefly UMV-Banach algebra) is defined as a new class of Banach algebras, and we characterize derivations on this class of Banach algebras. Indeed, it is proved that if $\mathcal{A}$ is a unital UMV-Banach algebra such that either $a = 0$ or $b = 0$ whenever $ab = 0$ in $\mathcal{A}$, and if $\delta:\mathcal{A} \rightarrow \mathcal{A}$ is a derivation such that $a \delta(a) = \delta(a)a$ for all $a \in \mathcal{A}$, then the following assertions are equivalent:\\ (i) $\delta$ is continuous; \\(ii) $\delta(e^a) = e^a\delta(a)$ for all $a \in \mathcal{A}$; \\(iii) $\delta$ is …
A New Approach To Soft Uniform Spaces,
2016
TÜBİTAK
A New Approach To Soft Uniform Spaces, Taha Yasi̇n Öztürk
Turkish Journal of Mathematics
The purpose of this paper is to introduce the concept of soft uniform spaces and the relationships between soft uniform spaces and uniform spaces. The notions of soft uniform structure, soft uniform continious function, and operations on soft uniform space are introduced and their basic properties are investigated.
On The Solvability Of The Riemann Boundary Value Problem In Morrey--Hardy Classes,
2016
TÜBİTAK
On The Solvability Of The Riemann Boundary Value Problem In Morrey--Hardy Classes, Bilal Bilalov, Telman Gasymov, Aida Guliyeva
Turkish Journal of Mathematics
This work considers the Riemann boundary value problem with the piecewise continuous coefficient in Morrey-Hardy classes. Under some conditions on the coefficient, the Fredholmness of this problem is studied and the general solution of homogeneous and nonhomogeneous problems in Morrey-Hardy classes is constructed.
Some Results Concerning The Summability Of Spliced Sequences,
2016
TÜBİTAK
Some Results Concerning The Summability Of Spliced Sequences, Tuğba Yurdakadi̇m, Mehmet Ünver
Turkish Journal of Mathematics
A spliced sequence is formed by combining all of the terms of two or more convergent sequences, in their original order, into a new spliced sequence. In this paper replacing convergent sequences by bounded sequences, we study the summability of spliced sequences and give some inequalities that provide us with approximation of the core of transformation of these sequences by a summability matrix. We also present some further results via the Lebesgue integral.
On Generalized Ostrowski-Type Inequalities For Functions Whose First Derivatives Absolute Values Are Convex,
2016
TÜBİTAK
On Generalized Ostrowski-Type Inequalities For Functions Whose First Derivatives Absolute Values Are Convex, Hüseyi̇n Budak, Mehmet Zeki̇ Sarikaya
Turkish Journal of Mathematics
In this paper, we establish some generalized Ostrowski-type inequalities for functions whose first derivatives absolute values are convex.
Some Properties Of Concave Operators,
2016
TÜBİTAK
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.
Structural Stability Analysis Of Solutions To The Initial Boundary Value Problem For A Nonlinear Strongly Damped Wave Equation,
2016
TÜBİTAK
Structural Stability Analysis Of Solutions To The Initial Boundary Value Problem For A Nonlinear Strongly Damped Wave Equation, Şevket Gür, İpek Güleç
Turkish Journal of Mathematics
In this paper the initial-boundary value problem for a nonlinear strongly damped wave equation is considered. We analyze the structural stability of solutions of the nonlinear strongly damped wave equation with coefficients from $H^1(\Omega)$.
Numerical Approach For Solving Space Fractional Orderdiffusion Equations Using Shifted Chebyshev Polynomials Of The Fourth Kind, Nasser Hassan Swielam, Abd Elhameed Mohamed Nagy, Adel Abd Elaziz El Sayed
Turkish Journal of Mathematics
In this paper, a new approach for solving space fractional order diffusion equations is proposed. The fractional derivative in this problem is in the Caputo sense. This approach is based on shifted Chebyshev polynomials of the fourth kind with the collocation method. The finite difference method is used to reduce the equations obtained by our approach for a system of algebraic equations that can be efficiently solved. Numerical results obtained with our approach are presented and compared with the results obtained by other numerical methods. The numerical results show the efficiency of the proposed approach.
Rings Associated To Coverings Of Finite $P$-Groups,
2016
TÜBİTAK
Rings Associated To Coverings Of Finite $P$-Groups, Gary Walls, Linhong Wang
Turkish Journal of Mathematics
In general the endomorphisms of a nonabelian group do not form a ring under the operations of addition and composition of functions. Several papers have dealt with the ring of functions defined on a group, which are endomorphisms when restricted to the elements of a cover of the group by abelian subgroups. We give an algorithm that allows us to determine the elements of the ring of functions of a finite $p$-group that arises in this manner when the elements of the cover are required to be either cyclic or elementary abelian of rank $2$. This enables us to determine …
Derivation-Homomorphisms,
2016
TÜBİTAK
Derivation-Homomorphisms, Lingyue Li, Xiaowei Xu
Turkish Journal of Mathematics
In this paper, we introduce notions of $(n,m)$-derivation-homomorphisms and Boolean $n$-derivations. Using Boolean $n$-derivations and $m$-homomorphisms, we describe structures of $(n, m)$-derivation-homomorphisms.
