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Some Fejer Type Integral Inequalities for Geometrically-Arithmetically-Convex Functions with Applications
Journal article   Open access  Peer reviewed

Some Fejer Type Integral Inequalities for Geometrically-Arithmetically-Convex Functions with Applications

Muhammad Amer Latif, Sever Silvestru Dragomir and Ebrahim Momoniat
Filomat, Vol.32(6), pp.2193-2206
01/01/2018
DOI: https://doi.org/10.2298/FIL1806193L

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
In this paper, the notion of geometrically symmetric functions is introduced. A new identity involving geometrically symmetric functions is established, and by using the obtained identity, the Holder integral inequality and the notion of geometrically-arithmetically convexity, some new Fejer type integral inequalities are presented. Applications of our results to special means of positive real numbers are given as well.
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https://doi.org/10.2298/FIL1806193LView
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