Integral Inequalities for Differentiable p-Harmonic Convex Functions

Abstract

In this  paper,  we consider  a new class of harmonic  convex func- tions, which is called p-harmonic convex function.  Several new Hermite-Hadamard, midpoint, trapezoidal and Simpson type inequalities  for functions whose deriva- tives in absolute  value are p-harmonic  convex are obtained. Some special cases are discussed.   The  ideas and  techniques  of this  paper  may  stimulate further research.