Mevlut Tunc

On Some Hadamard Type Inequalities for MT- Convex Functions

In this paper, we establish some new Hadamard type inequalities for MTconvex functions and give few applications for some special means.

Ostrowski type inequalities for s-logarithmically convex functions in the second sense with applications

Abstract In this paper, we establish some new Ostrowski type inequalities for s-logarithmically convex functions. Some applications of our results to PDFs and in numerical integration are given.

On Some Integral Inequalities for S-Geometrically Convex Functions and Their Applications

In this paper, we describe s-logarithmically convex functions in the first and second sense which are connected with the ordinary logatihmic convex and s-convex in the first and second sense. Afterwards, some new inequalities related to above new definitions are given.

On (h-s){Convex Functions and Hadamard-type Inequalities

In this paper, two new classes of convex functions as a generalization of convexity which is called (h s)1;2 convex functions are given.

Hermite-Hadamard type inequalities for (β, α; n, m)-logarithmically and (β, α; n, m)-Godunova-Levin-logarithmically convex functions

In this paper, the Authors establish some new Hermite-Hadamard type inequalities for (β, α; n, m)-logarithmic and (β, α; n, m)-Godunova-Levin-log-convex functions. Some special cases are also discussed.

On Opial type inequalities

In this paper we establish some new integral inequalities analogous to the Opial inequality by using the proved lemma and some classical inequalities for convex functions.

Some perturbed trapezoid inequalities for convex, s-convex and tgs-convex functions and applications

Abstract In this paper, the Authors establish a new identity for twice differentiable functions. Afterwards some new inequalities are presented related to perturbed trapezoid inequality for the classes of functions whose second derivatives of absolute values are convex, s-convex and tgs-convex. Last of all, applications to special means have also been presented.

On some inequalities for functions whose absolute values of the second derivatives are α-, m-, (α,m)-logarithmically convex

Abstract In this paper, we establish some new Hadamard-type inequalities using elementary well-known inequalities for functions whose absolute values of the second derivatives are α-, m-, (α,m)-logarithmically convex.