Inequalities of Fejer Type Related to Generalized Convex Functions

Inequalities of Fejer Type Related to Generalized Convex Functions

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<span lang="EN-US">This paper deals with some Fejer type inequalities related to (η1, η2)-convex functions. In fact the difference between the right and middle part of Fejer inequality is estimated without using Hölder’s inequality when the absolute value of the derivative of conside...

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Main Authors: S. Mohammadi Aslani, M. Rostamian Delavar, S. M. Vaezpour
Format: Article
Language:English
Published: Etamaths Publishing 2018-01-01
Series:International Journal of Analysis and Applications
Online Access:http://etamaths.com/index.php/ijaa/article/view/1513
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spelling doaj-837c1f4204e341e381cf1e78aa96cca82021-08-26T13:44:38ZengEtamaths PublishingInternational Journal of Analysis and Applications2291-86392018-01-011613849284Inequalities of Fejer Type Related to Generalized Convex FunctionsS. Mohammadi Aslani0M. Rostamian Delavar1S. M. Vaezpour2Islamic Azad University, KarajUniversity of BojnordAmirkabir University of Technology<span lang="EN-US">This paper deals with some Fejer type inequalities related to (η1, η2)-convex functions. In fact the difference between the right and middle part of Fejer inequality is estimated without using Hölder’s inequality when the absolute value of the derivative of considered function is (η1, η2)-convex. Furthermore we give two estimation results when the derivative of considered function is bounded and satisfies a Lipschitz condition.</span>http://etamaths.com/index.php/ijaa/article/view/1513
collection DOAJ
language English
format Article
sources DOAJ
author S. Mohammadi Aslani
M. Rostamian Delavar
S. M. Vaezpour
spellingShingle S. Mohammadi Aslani
M. Rostamian Delavar
S. M. Vaezpour
Inequalities of Fejer Type Related to Generalized Convex Functions
International Journal of Analysis and Applications
author_facet S. Mohammadi Aslani
M. Rostamian Delavar
S. M. Vaezpour
author_sort S. Mohammadi Aslani
title Inequalities of Fejer Type Related to Generalized Convex Functions
title_short Inequalities of Fejer Type Related to Generalized Convex Functions
title_full Inequalities of Fejer Type Related to Generalized Convex Functions
title_fullStr Inequalities of Fejer Type Related to Generalized Convex Functions
title_full_unstemmed Inequalities of Fejer Type Related to Generalized Convex Functions
title_sort inequalities of fejer type related to generalized convex functions
publisher Etamaths Publishing
series International Journal of Analysis and Applications
issn 2291-8639
publishDate 2018-01-01
description <span lang="EN-US">This paper deals with some Fejer type inequalities related to (η1, η2)-convex functions. In fact the difference between the right and middle part of Fejer inequality is estimated without using Hölder’s inequality when the absolute value of the derivative of considered function is (η1, η2)-convex. Furthermore we give two estimation results when the derivative of considered function is bounded and satisfies a Lipschitz condition.</span>
url http://etamaths.com/index.php/ijaa/article/view/1513
work_keys_str_mv AT smohammadiaslani inequalitiesoffejertyperelatedtogeneralizedconvexfunctions
AT mrostamiandelavar inequalitiesoffejertyperelatedtogeneralizedconvexfunctions
AT smvaezpour inequalitiesoffejertyperelatedtogeneralizedconvexfunctions
_version_ 1721193497764036608

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