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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Vydané v:Applied mathematics and computation Ročník 252; s. 257 - 262
Hlavní autori: Mihai, Marcela V., Noor, Muhammad Aslam, Noor, Khalida Inayat, Awan, Muhammad Uzair
Médium: Journal Article
Jazyk:English
Vydavateľské údaje: Elsevier Inc 01.02.2015
Predmet:
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
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Popis
Shrnutí: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.
Bibliografia:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 23
ISSN:0096-3003
1873-5649
DOI:10.1016/j.amc.2014.12.018