Ahmet Ocak Akdemir

On some Hadamard-type inequalities for product of two s-convex functions on the co-ordinates

In this article, Hadamard-type inequalities for product of s-convex in the second sense on the co-ordinates in a rectangle from the plane are established.

Inequalities for convex and s-convex functions on Δ = [a, b] × [c, d]

In this article, two new lemmas are proved and inequalities are established for co-ordinated convex functions and co-ordinated s-convex functions.Mathematics Subject Classification (2000): 26D10; 26D15.

On some inequalities for s-convex functions and applications

Some new results related to the left-hand side of the Hermite-Hadamard type inequalities for the class of functions whose second derivatives at certain powers are s-convex functions in the second sense are obtained. Also, some applications to special means of real numbers are provided.MSC:26A51, 26D15.

On some inequalities for h-concave functions

Abstract In this paper, some inequalities are proved for mappings whose p -th powers are h -concave functions by using the Godunova–Levin inequality, Holder’s inequality, Favard’s inequality, Chebyshev’s inequality and some other integral inequalities.

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.

New inequalities of Hadamard type for quasi-convex functions

In this paper some new Hadamard-type inequalities for functions whose second derivatives in absolute values are quasi-convex are established. Our results gives new estimations for quasi-convex functions.

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.

Ostrowski-type inequalities for strongly convex functions

Abstract In this paper, we establish Ostrowski-type inequalities for strongly convex functions, by using some classical inequalities and elementary analysis. We also give some results for the product of two strongly convex functions.

Some new Hermite-Hadamard type inequalities for quasi-convex functions via fractional integral operator

In this paper, using the identity obtained by Yaldiz and Sarikaya in [10], some new Hermite-Hadamard type inequalities for quasi-convex functions via fractional integral operators are given.

On some new inequalities of Hadamard type for h-convex functions

In this paper we proved some new Hadamard-type inequalities for h-convex functions.In this paper we proved some new Hadamard-type inequalities for h-convex functions.