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Hermite-Hadamard Type Riemann-Liouville Fractional Integral Inequalities for Convex Functions
(Amer Inst Physics, 2016) Tomar, Muharrem; Set, Erhan; Sarıkaya, Mehmet Zeki
In this paper, we prove a useful lemma. After that, using this lemma, we obtain several new Hermite-Hadamard type of inequalities for Reimann-Liouville fractional integrals.
Hermite-Hadamard type Inequality for phi(h)-convex stochastic processes
(Amer Inst Physics, 2016) Sarıkaya, Mehmet Zeki; Kiriş, Mehmet Eyüp; Çelik, Nuri
The main aim of the present paper is to introduce phi(h)-convex stochastic processes and we investigate main properties of these mappings. Moreover, we prove the Hadamard-type inequalities for phi(h)-convex stochastic processes. We also give some new general inequalities for phi(h)-convex stochastic processes.
Hermite-Hadamard Inequalities Involving The Gauss Hypergeometric Function
(Amer Inst Physics, 2018) Sarıkaya, Mehmet Zeki
The goal of this study is obtained the new generalization Hermite-Hadamard-Fejer inequalities involving the Gauss hypergeometric function. The results presented here would provide some fractional inequalities involving Saigo, Erdelyi-Kober and Riemann-Liouville type fractional operators.
Gruss type inequalities for generalized fractional integrals
(Amer Inst Physics, 2016) Erden, Samet; Sarıkaya, Mehmet Zeki; Budak, Hüseyin
In this study, some Gruss type inequalities for generalized fractional integrals are presented. Also, the results presented here would provide extensions of those given in earlier works.
Generalization and Improvement of Ostrowski Type Inequalities
(Amer Inst Physics, 2018) Sarıkaya, Mehmet Zeki; Yıldız, Mustafa Kemal
The goal of this study to obtain the new generalization of Ostrowski inequality for bounded functions by using new generalized Montgomery identity which is proved. The results presented here would provide extensions of those given in earlier works.
Some Opial Type Inequalities for Conformable Fractional Integrals
(Amer Inst Physics, 2018) Sarıkaya, Mehmet Zeki; Bilişik, Candan Can
In this paper, we establish some generalization of Opial type inequalities for conformable fractional integral.
Some Results for a Family of Multivariable Polynomials
(Amer Inst Physics, 2013) Özmen, Nejla; Duman, Esra Erkuş
In this paper, we derive various families of multilinear and multilateral generating functions for a family of multivariable polynomials. We obtain an integral representation, some recurrence relations and a partial differential equation for product of two of these multivariable polynomials.
Some Generalized Integral Inequalities for Convex Functions and Applications
(Amer Inst Physics, 2016) Sarıkaya, Mehmet Zeki; Tunç, Tuba; Yıldız, Mustafa Kemal
In this paper, some new integral inequalities and their applications to special means of real numbers will be given using generalized Hermite-Hadamard's integral inequalities and Simpson's type inequalities holding for convex functions. Our results presented here would provide extensions of those given in earlier works.
Some Curvature Properties of Globally Framed Almost f-Cosymplectic Manifolds
(Amer Inst Physics, 2017) Yıldırım, Mustafa; Aktan, Nesip
The purpose of this paper is to study fundamental curvature properties for globally framed almost f-cosymplectic manifolds.
On the Solution of a Three Dimensional Convection Diffusion Problem
(Amer Inst Physics, 2012) Erdoğan, Abdullah Said; Alp, Mustafa
In this paper, the Rothe difference scheme and the Adomian Decomposition method are presented for obtaining the approximate solution of three dimensional convection-diffusion problem. Stability estimates for the difference problem is presented.
On Split B-1-EPG Graphs
(Springer International Publishing Ag, 2018) Deniz, Zakir; Nivelle, Simon; Ries, Bernard; Schindl, David
In this paper, we are interested in edge intersection graphs of paths in a grid, such that each such path has at most one bend. These graphs were introduced in [12] and they are called B-1-EPG graphs. In particular, we focus on split graphs and characterise those that are B-1-EPG. This characterisation allows us to disprove a conjecture of Cameron et al. [7]. The existence of polynomial-time recognition algorithm for this graph class is still unknown. We furthermore investigate inclusion relationships among subclasses of split graphs that are B-1-EPG.
On Some Types of Almost Cosymplectic Manifolds
(Amer Inst Physics, 2017) Ayar, Gülhan; Beyendi, Selahattin; Aktan, Nesip
The object of the present paper is to study almost cosymplectic (k, mu)-spaces satisfying some curvature conditions.
On Some New Inequalities of Hadamard Type for h-Convex Functions
(Amer Inst Physics, 2012) Akdemir, Ahmet Ocak; Set, Erhan; Özdemir, Mehmet Emin; Yıldız, Çetin
In this paper we proved some new Hadamard-type inequalities for h-convex functions.
On Relation between Analytic and Univalent Functions Defined by Close-to P Class with the Function Belonging to S Class
(Amer Inst Physics, 2017) Yıldız, İsmet; Uyanık, Neslihan; Albayrak, Hilal; Ay, Hilal
The Weierstrass's associated function is not elliptic but it is of great use in developing the theory of elliptic function. The Zeta function is defined by the double series Sigma(m)'Sigma(m)''{1/z-W-mn + 1/W-mn + z/W-mn(2)}, where W-mn = 2m omega(1) + 2n omega(2) and m, n are integers, not simultaneously zero; the summation Sigma(m)'Sigma(m)''{1/z-W-mn + 1/W-mn + z/W-mn(2)} extends overall integers, not simultaneously. Which W-mn are Lattice points. Evidently W-mn are simple poles of zeta(z) and hence the function is meromorphic in W = {m omega(1) + n omega(2) : (m, n) not equal (0, 0), m, n is an element of Z, Im tau > 0}, D* = {z : vertical bar z vertical bar > 1, vertical bar Rez vertical bar < 1/2 and Im tau > 0, z is an element of C}. zeta(z) is uniformly convergent series of analytic functions, so the series can be differentiated term-by-term. zeta(z) is an odd function, hence the coefficients of the terms z(2k) is evidently zero when k is positive integers. Let A be the class of functions f (z) which are analytic and normalized with f (0) = 0 and f' (0) = 1. Let S be the subclass of A consisting of functions f (z) which are univalent in D. Let P class be univalent functions largely concerned with the family S of functions f analytic and univalent in the unit disk D, and satisfying the conditions f (0) = 0 and f'(0) = 1. One of the basic results of the theory is growth theorem, which asserts in part that for each f is an element of S. In particular, the functions f is an element of S are uniformly bounded on each compact subset of D. Thus the family S is locally bounded, and so by Montel's theorem it is a normal family. A relation was established between S class with function of Weierstrass which is analytic and monomorphic Closes-to-P class in unit disk.
On Numerical Solution of Multipoint NBVP for Hyperbolic-Parabolic Equations with Neumann Condition
(Amer Inst Physics, 2012) Ashyralyev, Allaberen; Özdemir, Yıldırım
A numerical method is proposed for solving multi-dimensional hyperbolic-parabolic differential equations with the nonlocal boundary condition in t and Neumann condition in space variables. The first and second orders of accuracy difference schemes are presented. The stability estimates for the solution and its first and second orders difference derivatives are established. A procedure of modified Gauss elimination method is used for solving these difference schemes in the case of a one-dimensional hyperbolic-parabolic differential equations with variable in x coefficients.
On Numerical Solution of the Schrodinger-Parabolic Equation
(Amer Inst Physics, 2018) Özdemir, Yıldırım; Türkyılmaz, Aylin Aygül
The nonlocal boundary value problem for a parabolic-SchrOdinger equation is considered. The stability estimates for the solution of the given problem is established. The first and second order of difference schemes are presented for approximately solving a specific nonlocal boundary problem. The theoretical statements for the solution of these difference schemes are supported by the result of numerical examples.
On Ostrowski Type Inequalities For F-convex Function
(Amer Inst Physics, 2017) Budak, Hüseyin; Sarıkaya, Mehmet Zeki
In this study, we firstly obtain some Ostrowski type inequalities for the function whose derivatives absolute values are F-convex defined by B. Samet. Moreover, we give some previous works with the special cases of the mappings F.
On nonlocal boundary value problems for elliptic-Schrodinger equations
(Amer Inst Physics, 2015) Özdemir, Yıldırım; Eser, Mecra
The nonlocal boundary value problem for elliptic-Schrodinger equations is considered. The stability estimates for the solution of this problem are presented. In applications, the stability estimates of the mixed type boundary value problems for elliptic-Schrodinger equations are obtained.
On Gruss Type Inequalities Utilizing Generalized Fractional Integral Operators
(Amer Inst Physics, 2017) Tunç, Tuba; Usta, Fuat; Budak, Hüseyin; Sarıkaya, Mehmet Zeki
In this paper, some upper bounds of Gruss type inequalities are proven in the general sense for generalised fractional integral operators thus we unify corresponding integer and fractional order versions.
On Hermite Hadamard-Type Inequalities Depending on The Metric Functions
(Amer Inst Physics, 2016) Sarıkaya, Mehmet Zeki; Tunç, Tuba; Yaldız, Hatice
In this paper, a version of Hermite Hadamard-type inequalities for (d, t)-convex functions are established. And then we give some new inequalities of the Hermite-Hadamard type for the product of two (d, t)-convex functions.

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