Integral Inequalities for Mappings Whose Derivatives Are s-Convex in the Second Sense and Applications to Special Means for Positive Real Numbers

MEVLÜT TUNÇ^1, and SEVIL BALGEÇTݹ

¹Mustafa Kemal University, Faculty of Science and Arts, Department of Mathematics, Hatay, Turkey

Cite this paper:
MEVLÜT TUNÇ and SEVIL BALGEÇTİ. Integral Inequalities for Mappings Whose Derivatives Are s-Convex in the Second Sense and Applications to Special Means for Positive Real Numbers. Turkish Journal of Analysis and Number Theory. 2016; 4(2):48-53. doi: 10.12691/tjant-4-2-5

Abstract

In this paper, the authors establish a new type integral inequalities for differentiable s-convex functions in the second sense. By the well-known Hölder inequality and power mean inequality, they obtain some integral inequalities related to the s-convex functions and apply these inequalities to special means for positive real numbers.

Keywords:
s-convexity Hermite-Hadamard Inequality Bullen’s inequality Special Means.

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