Some Fejér type integral inequalities for geometrically-arithmetically-convex functions with applications-Reference-Cited by-同舟云学术

Some Fejér type integral inequalities for geometrically-arithmetically-convex functions with applications

Published:2018 Issue:6 Volume:32 Page:2193-2206
ISSN:0354-5180
Container-title:Filomat
language:en
Short-container-title:Filomat

Author:

Latif Muhammad¹,Dragomir Sever²,Momoniat Ebrahim³

Affiliation:

1. School of Computer Science and Applied Mathematics, University of the Witwatersrand, Wits, Johannesburg, South Africa

2. School of Engineering and Science, Victoria University, Melbourne City, Australia + Centre of Excellence in the Mathematical and Statistical Sciences, School of Computer Science and Applied Mathematics, University of the Witwatersrand, Johannesburg, Wits,

3. Centre of Excellence in the Mathematical and Statistical Sciences, School of Computer Science and Applied Mathematics, University of the Witwatersrand, Johannesburg, Wits, South Africa

Abstract

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 H?lder integral inequality and the notion of geometrically-arithmetically convexity, some new Fej?r type integral inequalities are presented. Applications of our results to special means of positive real numbers are given as well.

Publisher

National Library of Serbia

Subject

General Mathematics

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