The Hermite-Hadamard inequality for s-Convex functions in the third sense

Abstract

In this paper, the Hermite-Hadamard inequality for s-convex functions in the third sense is provided. In addition, some integral inequalities for them are presented. Also, the new functions based on the integral and double integral of s-convex functions in the third sense are defined and under certain conditions, the third sense s-convexity of these functions are shown and some inequality relations for these are expressed.

Keywords

• hermite-hadamard inequality
• convex set
• convex function
• s-convex function in the third sense