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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Veröffentlicht in:Applied mathematics and computation Jg. 252; S. 257 - 262
Hauptverfasser: Mihai, Marcela V., Noor, Muhammad Aslam, Noor, Khalida Inayat, Awan, Muhammad Uzair
Format: Journal Article
Sprache:Englisch
Veröffentlicht: Elsevier Inc 01.02.2015
Schlagworte:
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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Zusammenfassung: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