Some integral inequalities for harmonic h-convex functions involving hypergeometric functions

The aim of this paper is to establish some new Hermite–Hadamard type inequalities for harmonic h-convex functions involving hypergeometric functions. We also discuss some new and known special cases, which can be deduced from our results. The ideas and techniques of this paper may inspire further re...

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Bibliographic Details
Published in:Applied mathematics and computation Vol. 252; pp. 257 - 262
Main Authors: Mihai, Marcela V., Noor, Muhammad Aslam, Noor, Khalida Inayat, Awan, Muhammad Uzair
Format: Journal Article
Language:English
Published: Elsevier Inc 01.02.2015
Subjects:
Computation
Convex
Harmonic h-convex functions
Harmonics
Hermite–Hadamard’s inequalities
Hypergeometric functions
Inequalities
Integrals
Mathematical analysis
Mathematical models
Hypergeometric functions
Hermite–Hadamard’s inequalities
Convex
Harmonic h-convex functions
ISSN:0096-3003, 1873-5649
Online Access:Get full text
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Summary:The aim of this paper is to establish some new Hermite–Hadamard type inequalities for harmonic h-convex functions involving hypergeometric functions. We also discuss some new and known special cases, which can be deduced from our results. The ideas and techniques of this paper may inspire further research in this field.
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ISSN:0096-3003
1873-5649
DOI:10.1016/j.amc.2014.12.018