Hermite–Hadamard’s Integral Inequalities of (<i>α</i>, <i>s</i>)-GA- and (<i>α</i>, <i>s</i>, <i>m</i>)-GA-Convex Functions

Abstract

In this paper, the authors propose the notions of (α,s)-geometric-arithmetically convex functions and (α,s,m)-geometric-arithmetically convex functions, while they establish some new integral inequalities of the Hermite–Hadamard type for (α,s)-geometric-arithmetically convex functions and for (α,s,m)-geometric-arithmetically convex functions.

Keywords

• Hermite–Hadamard type integral inequality
• (<i>α</i>, <i>s</i>)-geometric-arithmetically convex function
• (<i>α</i>, <i>s</i>, <i>m</i>)-geometric-arithmetically convex function