Post-quantum trapezoid type inequalities

Abstract

In this study, the assumption of being differentiable for the convex function <i>f</i> in the (<i>p</i>, <i>q</i>)-Hermite-Hadamard inequality is removed. A new identity for the right-hand part of (<i>p</i>, <i>q</i>)-Hermite-Hadamard inequality is proved. By using established identity, some (<i>p</i>, <i>q</i>)-trapezoid integral inequalities for convex and quasi-convex functions are obtained. The presented results in this work extend some results from the earlier research.

Topics & Concepts