Hermite-Hadamard Type Inequalities for Quasi-Convex Functions via Katugampola Fractional Integrals

The paper deals with quasi-convex functions, Katugampola fractional integrals and Hermite-Hadamard type integral inequalities. The main idea of this paper is to present new Hermite-Hadamard type inequalities for quasi-convex functions using Katugampola fractional integrals, Hölder inequality and the...

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Main Authors: Erhan Set, Ilker Mumcu
Format: Article
Language:English
Published: Etamaths Publishing 2018-07-01
Series:International Journal of Analysis and Applications
Online Access:http://www.etamaths.com/index.php/ijaa/article/view/1604
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spelling doaj-07d799608a88475f8821320bce03cabf2020-11-25T01:13:41ZengEtamaths PublishingInternational Journal of Analysis and Applications2291-86392018-07-01164605613328Hermite-Hadamard Type Inequalities for Quasi-Convex Functions via Katugampola Fractional IntegralsErhan Set0Ilker MumcuDepartment of Mathematics, Faculty of Science and Arts, Ordu University, Ordu, TurkeyThe paper deals with quasi-convex functions, Katugampola fractional integrals and Hermite-Hadamard type integral inequalities. The main idea of this paper is to present new Hermite-Hadamard type inequalities for quasi-convex functions using Katugampola fractional integrals, Hölder inequality and the identities in the literature.http://www.etamaths.com/index.php/ijaa/article/view/1604
collection DOAJ
language English
format Article
sources DOAJ
author Erhan Set
Ilker Mumcu
spellingShingle Erhan Set
Ilker Mumcu
Hermite-Hadamard Type Inequalities for Quasi-Convex Functions via Katugampola Fractional Integrals
International Journal of Analysis and Applications
author_facet Erhan Set
Ilker Mumcu
author_sort Erhan Set
title Hermite-Hadamard Type Inequalities for Quasi-Convex Functions via Katugampola Fractional Integrals
title_short Hermite-Hadamard Type Inequalities for Quasi-Convex Functions via Katugampola Fractional Integrals
title_full Hermite-Hadamard Type Inequalities for Quasi-Convex Functions via Katugampola Fractional Integrals
title_fullStr Hermite-Hadamard Type Inequalities for Quasi-Convex Functions via Katugampola Fractional Integrals
title_full_unstemmed Hermite-Hadamard Type Inequalities for Quasi-Convex Functions via Katugampola Fractional Integrals
title_sort hermite-hadamard type inequalities for quasi-convex functions via katugampola fractional integrals
publisher Etamaths Publishing
series International Journal of Analysis and Applications
issn 2291-8639
publishDate 2018-07-01
description The paper deals with quasi-convex functions, Katugampola fractional integrals and Hermite-Hadamard type integral inequalities. The main idea of this paper is to present new Hermite-Hadamard type inequalities for quasi-convex functions using Katugampola fractional integrals, Hölder inequality and the identities in the literature.
url http://www.etamaths.com/index.php/ijaa/article/view/1604
work_keys_str_mv AT erhanset hermitehadamardtypeinequalitiesforquasiconvexfunctionsviakatugampolafractionalintegrals
AT ilkermumcu hermitehadamardtypeinequalitiesforquasiconvexfunctionsviakatugampolafractionalintegrals
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