Harmonic Beta-Preinvex Functions and Inequalities

In this paper, we introduce and study a new class of harmonic convex functions which is called harmonic beta-preinvex functions. We establish some estimates, involving the Euler Beta function and the Hypergeometric function of the integral $\int_a^{a+\eta(b,a)}(x-a)^p(a+\eta(b,a)-x)^qf(x)\mathrm{d}x...

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Bibliographic Details
Main Authors: Muhammad Aslam Noor, Khalida Inayat Noor, Sabah Iftikhar
Format: Article
Language:English
Published: Etamaths Publishing 2017-03-01
Series:International Journal of Analysis and Applications
Online Access:http://etamaths.com/index.php/ijaa/article/view/1037