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.
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