Some Quantum Integral Inequalities for (<i>p</i>, <i>h</i>)-Convex Functions

Abstract

In this paper, we derive an identity of the q-definite integral of a continuous function f on a finite interval. We then use such identity to prove some new quantum integral inequalities for (p,h)-convex function. The results obtained in this paper generalize previous work in the literature.

Keywords

• Hermite–Hadamard inequality
• (<i>p</i>, <i>h</i>)-convex function
• <i>q</i>-derivative
• <i>q</i>-integral
• <i>q</i>-calculus