On some New Inequalities Related to Fejér’s Inequality for Superquadratic Functions

Abstract

In this paper some new inequalities related to Fej´er’s inequality and Hermite-Hadamard’s inequality for superquadratic functions are established. We also get refinements of some known results established in [20] when superquadratic function is non-negative and hence convex.

Key words and phrases. Fej´er’s inequality, Hermite-Hadamard’s inequality, superquadratic function.

2000 Mathematics Subject Classification. 26D15