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

Applied Mathematics and Computation, Volume 252, 2015, Pages 257–262.

Marcela V. Mihai1, Muhammad Aslam Noor2, Khalida Inayat Noor2, Muhammad Uzair Awan2

1 Department of Mathematics, University of Craiova, Street A. I. Cuza 13, Craiova RO-200585, Romania.

2 Department of Mathematics, COMSATS Institute of Information Technology, Park Road, Islamabad, Pakistan.

 

Abstract

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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