Title of article :
INEQUALITIES VIA STRONGLY (p, h)-HARMONIC CONVEX FUNCTIONS
Author/Authors :
NOOR, M. A Department of Mathematics - COMSATS University Islamabad - Park Road, Islamabad , NOOR, K. I Department of Mathematics - COMSATS University Islamabad - Park Road, Islamabad , IFTIKHAR, S Department of Mathematics - COMSATS University Islamabad - Park Road, Islamabad
Abstract :
The main aim of this paper is to consider a new class of harmonic convex
functions with respect to an arbitrary non-negative function, which is called strongly
(p, h)-harmonic convex function. We establish Hermite-Hadamard like integral inequalities via these new classes of convex functions. Some special cases are discussed, which
can be obtained from our main results. The ideas and techniques of this paper may
stimulate further research.
Keywords :
Harmonic convex functions , p-convex functions , Hermite-Hadamard type inequalities
Journal title :
Turkish World Mathematical Society Journal of Applied and Engineering Mathematics