Title of article
INTEGRAL INEQUALITIES FOR DIFFERENTIABLE RELATIVE HARMONIC PREINVEX FUNCTIONS (SURVEY)
Author/Authors
NOOR, M.A. COMSATS Institute of Information Technology - Mathematics Department, Pakistan , NOOR, K.I. COMSATS Institute of Information Technology - Mathematics Department, Pakistan , IFTIKHAR, S. COMSATS Institute of Information Technology - Mathematics Department, Pakistan
From page
3
To page
19
Abstract
In this paper, we consider and investigate the relative harmonic preinvex functions, which unifies several new known classes of harmonic preinvex functions. We derive several new integral inequalities such as Hermite-Hadamard, Simpson s, trapezoidal for the relative harmonic preinvex functions. Since the relative harmonic preinvex functions include, convex function, harmonic convex functions, preinvex functions, relative harmonic convex and relative preinvex functions as special cases, results obtained in this paper continue to hold for these problems. Several open problems have been suggested for further research in these areas.
Keywords
harmonic convex functions , preinvex functions , harmonic preinvex functions , h , convex functions , midpoint inequality , trapezoidal inequality , Simpson s inequality , Hermite , Hadamard type inequality
Journal title
TWMS Journal of Pure and Applied Mathematics
Journal title
TWMS Journal of Pure and Applied Mathematics
Record number
2527610
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