Pre-Schur convex functions and some integral inequalities on domains from plane

Abstract

In this paper we introduce the concept of pre-Schur convex functions defined on general domains from plane. Then, by making use of Green’s identity for double integrals, we establish some integral inequalities for this class of functions that naturally generalize the case of Schur convex functions. Some exmples for rectangles and disks are also provided.

Keywords

• schur convex functions
• double integral inequalities
• 26d15