Some Fejer Type Inequalities for Harmonically-Convex Functions with Applications to Special Means

Some Fejer Type Inequalities for Harmonically-Convex Functions with Applications to Special Means

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In this paper, the notion of harmonic symmetricity of functions is introduced. A new identity involving harmonically symmetric functions is established and some new Fejer type integral inequalities are presented for the class of harmonically convex functions. The results presented in this paper are...

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Main Authors: M. A. Latif, S. S. Dragomir, E. Momoniat
Format: Article
Language:English
Published: Etamaths Publishing 2017-01-01
Series:International Journal of Analysis and Applications
Online Access:http://www.etamaths.com/index.php/ijaa/article/view/822
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spelling doaj-c4051f07e5bd4b559dd44d4c1df699fe2020-11-25T01:13:41ZengEtamaths PublishingInternational Journal of Analysis and Applications2291-86392017-01-01131114209Some Fejer Type Inequalities for Harmonically-Convex Functions with Applications to Special MeansM. A. Latif0S. S. Dragomir1E. Momoniat2School of Computational and Applied Mathematics, University of the Witwater-srand, Private Bag 3, Wits 2050, Johannesburg, South Africa1School of Engineering and Science, Victoria University, PO Box 14428 Melbourne City, MC 8001, AustraliaCenter for Differential Equations, Continuum Mechanics and Applications, School of Computational and Applied Mathematics, University of the Witwatersrand, Private Bag 3, Wits 2050, Johannesburg, South AfricaIn this paper, the notion of harmonic symmetricity of functions is introduced. A new identity involving harmonically symmetric functions is established and some new Fejer type integral inequalities are presented for the class of harmonically convex functions. The results presented in this paper are better than those established in recent literature concerning harmonically convex functions. Applications of our results to special means of positive real numbers are given as well.http://www.etamaths.com/index.php/ijaa/article/view/822
collection DOAJ
language English
format Article
sources DOAJ
author M. A. Latif
S. S. Dragomir
E. Momoniat
spellingShingle M. A. Latif
S. S. Dragomir
E. Momoniat
Some Fejer Type Inequalities for Harmonically-Convex Functions with Applications to Special Means
International Journal of Analysis and Applications
author_facet M. A. Latif
S. S. Dragomir
E. Momoniat
author_sort M. A. Latif
title Some Fejer Type Inequalities for Harmonically-Convex Functions with Applications to Special Means
title_short Some Fejer Type Inequalities for Harmonically-Convex Functions with Applications to Special Means
title_full Some Fejer Type Inequalities for Harmonically-Convex Functions with Applications to Special Means
title_fullStr Some Fejer Type Inequalities for Harmonically-Convex Functions with Applications to Special Means
title_full_unstemmed Some Fejer Type Inequalities for Harmonically-Convex Functions with Applications to Special Means
title_sort some fejer type inequalities for harmonically-convex functions with applications to special means
publisher Etamaths Publishing
series International Journal of Analysis and Applications
issn 2291-8639
publishDate 2017-01-01
description In this paper, the notion of harmonic symmetricity of functions is introduced. A new identity involving harmonically symmetric functions is established and some new Fejer type integral inequalities are presented for the class of harmonically convex functions. The results presented in this paper are better than those established in recent literature concerning harmonically convex functions. Applications of our results to special means of positive real numbers are given as well.
url http://www.etamaths.com/index.php/ijaa/article/view/822
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AT ssdragomir somefejertypeinequalitiesforharmonicallyconvexfunctionswithapplicationstospecialmeans
AT emomoniat somefejertypeinequalitiesforharmonicallyconvexfunctionswithapplicationstospecialmeans
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