On New Generalized Dunkel Type Integral Inequalities with Applications

Abstract

In this paper, by applying majorization theory, we study the Schur convexity of functions related to Dunkel integral inequality. We establish some new generalized Dunkel type integral inequalities and their applications to inequality theory.

Keywords

• Dunkel type integral inequality
• Schur-convexity
• majorization theory
• arithmetic mean-geometric mean (AM-GM) inequality