New generalized integral inequalities with applications

New generalized integral inequalities with applications

The authors have proved an identity for a generalized integral operator via differentiable function. By applying the established identity, the generalized trapezium type integral inequalities have been discovered. It is pointed out that the results of this research provide integral inequalities for...

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Main Authors: Artion Kashuri, Rozana Liko, Silvestru Sever Dragomir
Format: Article
Language:English
Published: AIMS Press 2019-07-01
Series:AIMS Mathematics
Subjects:
Hermite-Hadamard inequality
general fractional integrals
Hölder’s inequality
power mean inequality
Online Access:https://www.aimspress.com/article/10.3934/math.2019.3.984/fulltext.html
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spelling doaj-d52962d6fd0e40dc8b9baa99c4aa14962020-11-25T02:08:00ZengAIMS PressAIMS Mathematics2473-69882019-07-014398499610.3934/math.2019.3.984New generalized integral inequalities with applicationsArtion Kashuri0Rozana Liko1Silvestru Sever Dragomir21 Department of Mathematics, Faculty of Technical Science, University Ismail Qemali, Vlora, Albania1 Department of Mathematics, Faculty of Technical Science, University Ismail Qemali, Vlora, Albania2 School of Engineering and Science, Victoria University, PO Box 14428, Melbourne City, MC 8001, AustraliaThe authors have proved an identity for a generalized integral operator via differentiable function. By applying the established identity, the generalized trapezium type integral inequalities have been discovered. It is pointed out that the results of this research provide integral inequalities for almost all fractional integrals discovered in recent past decades. Various special cases have been identified. Some applications of presented results have been analyzed.https://www.aimspress.com/article/10.3934/math.2019.3.984/fulltext.htmlHermite-Hadamard inequalitygeneral fractional integralsHölder’s inequalitypower mean inequality
collection DOAJ
language English
format Article
sources DOAJ
author Artion Kashuri
Rozana Liko
Silvestru Sever Dragomir
spellingShingle Artion Kashuri
Rozana Liko
Silvestru Sever Dragomir
New generalized integral inequalities with applications
AIMS Mathematics
Hermite-Hadamard inequality
general fractional integrals
Hölder’s inequality
power mean inequality
author_facet Artion Kashuri
Rozana Liko
Silvestru Sever Dragomir
author_sort Artion Kashuri
title New generalized integral inequalities with applications
title_short New generalized integral inequalities with applications
title_full New generalized integral inequalities with applications
title_fullStr New generalized integral inequalities with applications
title_full_unstemmed New generalized integral inequalities with applications
title_sort new generalized integral inequalities with applications
publisher AIMS Press
series AIMS Mathematics
issn 2473-6988
publishDate 2019-07-01
description The authors have proved an identity for a generalized integral operator via differentiable function. By applying the established identity, the generalized trapezium type integral inequalities have been discovered. It is pointed out that the results of this research provide integral inequalities for almost all fractional integrals discovered in recent past decades. Various special cases have been identified. Some applications of presented results have been analyzed.
topic Hermite-Hadamard inequality
general fractional integrals
Hölder’s inequality
power mean inequality
url https://www.aimspress.com/article/10.3934/math.2019.3.984/fulltext.html
work_keys_str_mv AT artionkashuri newgeneralizedintegralinequalitieswithapplications
AT rozanaliko newgeneralizedintegralinequalitieswithapplications
AT silvestruseverdragomir newgeneralizedintegralinequalitieswithapplications
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