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FEJER TYPE INEQUALITIES FOR HARMONICALLY-CONVEX FUNCTIONS WITH APPLICATIONS
Journal article   Open access  Peer reviewed

FEJER TYPE INEQUALITIES FOR HARMONICALLY-CONVEX FUNCTIONS WITH APPLICATIONS

Muhammad Amer Latif, Sever Silvestru Dragomir, Ebrahim Momoniat and 2 School of Engineering and Science, Victoria University, PO Box 14428 Melbourne City, MC 8001, Australia
Journal of applied analysis and computation, Vol.7(3), pp.795-813
2017
DOI: https://doi.org/10.11948/2017050

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
In this paper, a new weighted identity involving harmonically symmetric functions and differentiable functions is established. By using the notion of harmonic symmetricity, harmonic convexity and some auxiliary results, some new Fejer type integral inequalities are presented. Applications to special means of positive real numbers are given as well.
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https://doi.org/10.11948/2017050View
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