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

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Muhammad Aslam Noor, Khalida Inayat Noor, Sabah Iftikhar, Farhat Safdar, Generalized (h,r)-Harmonic Convex Functions and Inequalities, Int. J. Anal. Appl., 16 (4) (2018), 542-555.

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Muhammad Aslam Noor, Khalida Inayat Noor, Sabah Iftikhar, Farhat Safdar

Abstract

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.

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