Some Generalized Steffensen’s Inequalities via a New Identity for Local Fractional Integrals

Some Generalized Steffensen’s Inequalities via a New Identity for Local Fractional Integrals

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In this study, we first give an identity for local fractional integrals. We then make use of this identity in order to derive several generalizations of the celebrated Steffensen’s inequality associated with local fractional integrals. Relevant connections of the results presented in this paper with...

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Main Authors: Tuba Tunç, Mehmet Zeki Sarıkaya, H. M. Srivastava
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/879
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spelling doaj-815b31af6f5f437c975f7bde1863bf8e2020-11-25T00:27:13ZengEtamaths PublishingInternational Journal of Analysis and Applications2291-86392017-01-0113198107219Some Generalized Steffensen’s Inequalities via a New Identity for Local Fractional IntegralsTuba Tunç0Mehmet Zeki Sarıkaya1H. M. Srivastava2Duzce UniversityDuzce UniversityDepartment of Mathematics and Statistics, University of Victoria, Victoria, British Columbia V8W 3R4, Canada and Center for General Education (Department of Science and Technology), China Medical University, Taichung 40402, Taiwan, Republic of ChinaIn this study, we first give an identity for local fractional integrals. We then make use of this identity in order to derive several generalizations of the celebrated Steffensen’s inequality associated with local fractional integrals. Relevant connections of the results presented in this paper with those that were proven in earlier works are also pointed out.http://www.etamaths.com/index.php/ijaa/article/view/879
collection DOAJ
language English
format Article
sources DOAJ
author Tuba Tunç
Mehmet Zeki Sarıkaya
H. M. Srivastava
spellingShingle Tuba Tunç
Mehmet Zeki Sarıkaya
H. M. Srivastava
Some Generalized Steffensen’s Inequalities via a New Identity for Local Fractional Integrals
International Journal of Analysis and Applications
author_facet Tuba Tunç
Mehmet Zeki Sarıkaya
H. M. Srivastava
author_sort Tuba Tunç
title Some Generalized Steffensen’s Inequalities via a New Identity for Local Fractional Integrals
title_short Some Generalized Steffensen’s Inequalities via a New Identity for Local Fractional Integrals
title_full Some Generalized Steffensen’s Inequalities via a New Identity for Local Fractional Integrals
title_fullStr Some Generalized Steffensen’s Inequalities via a New Identity for Local Fractional Integrals
title_full_unstemmed Some Generalized Steffensen’s Inequalities via a New Identity for Local Fractional Integrals
title_sort some generalized steffensen’s inequalities via a new identity for local fractional integrals
publisher Etamaths Publishing
series International Journal of Analysis and Applications
issn 2291-8639
publishDate 2017-01-01
description In this study, we first give an identity for local fractional integrals. We then make use of this identity in order to derive several generalizations of the celebrated Steffensen’s inequality associated with local fractional integrals. Relevant connections of the results presented in this paper with those that were proven in earlier works are also pointed out.
url http://www.etamaths.com/index.php/ijaa/article/view/879
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AT mehmetzekisarıkaya somegeneralizedsteffensensinequalitiesviaanewidentityforlocalfractionalintegrals
AT hmsrivastava somegeneralizedsteffensensinequalitiesviaanewidentityforlocalfractionalintegrals
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