Generalized (h,r)-Harmonic Convex Functions and Inequalities

Generalized (h,r)-Harmonic Convex Functions and Inequalities

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The main aim of this paper is to introduce a new class of harmonic convex functions with respect to non-negative function h, which is called generalized (h,r)-harmonic convex functions. We derive some new Fejer-Hermite-Hadamard type inequalities for generalized harmonic convex functions. Some specia...

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Bibliographic Details
Main Authors: Muhammad Aslam Noor, Khalida Inayat Noor, Sabah Iftikhar, Farhat Safdar
Format: Article
Language:English
Published: Etamaths Publishing 2018-07-01
Series:International Journal of Analysis and Applications
Online Access:http://etamaths.com/index.php/ijaa/article/view/1692
Description
Summary:The main aim of this paper is to introduce a new class of harmonic convex functions with respect to non-negative function h, which is called generalized (h,r)-harmonic convex functions. We derive some new Fejer-Hermite-Hadamard type inequalities for generalized harmonic convex functions. Some special cases are also discussed. The ideas and techniques of this paper may stimulate further research.
ISSN:2291-8639

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