A novel class of integral inequalities with graphical approach and diverse applications

Abstract

In this paper, we investigate a novel class of Hermite-Hadamard inequalities applicable to functions with h-convex absolute derivatives. Graphical representations are provided to bolster the validity of our key findings. Some limiting results of our main findings are discussed as corollaries. Furthermore, we establish error estimates in terms of trapezoid formulae for differences between generalized means.

Keywords

• h-convex function Hermite-Hadamard type inequalities Hölder’s inequality
• MSC 2020:26D10
• 26D15
• 26A33
• 26A51