Muhamet Emin Özdemir

OSTROWSKI’S TYPE INEQUALITIES FOR (ALPHA, M)-CONVEX FUNCTIONS

In this paper, we establish new inequalities of Ostrowskis type for functions whose derivatives in absolute value are (, m)-convex.

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.

Hermite-Hadamard-type inequalities for ( g , φ h ) -convex dominated functions

In this paper, we introduce the notion of (g,φh)-convex dominated function and present some properties of them. Finally, we present a version of Hermite-Hadamard-type inequalities for (g,φh)-convex dominated functions. Our results generalize the Hermite-Hadamard-type inequalities in Dragomir et al. (Tamsui Oxford Univ. J. Math. Sci. 18(2):161-173, 2002), Kavurmacı et al. (New Definitions and Theorems via Different Kinds of Convex Dominated Functions, 2012) and Özdemir et al. (Two new different kinds of convex dominated functions and inequalities via Hermite-Hadamard type, 2012).MSC:26D15, 26D10, 05C38.

New Generalizations of Ostrowski-Like Type Inequalities for Fractional Integrals

In this paper, we use the Riemann-Liouville fractional integrals to establish several new inequalities for some difierantiable mappings that are connected with the celebrated Ostrowski type integral inequality.

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.

A note on geometrically convex functions

In this paper, we establish several new inequalities for twice differentiable mappings that are connected with the celebrated Hermite-Hadamard integral inequality.MSC:26D15, 26A51.

An Ostrowski type inequality for derivatives of q-th power of s-convex functions via fractional integrals

Abstract In this paper, we establish several new inequalities for s-convex mappings that are connected with the Riemann–Liouville fractional integrals. Our results have some relationships with an Ostrowski type integral inequality in the literature.