On some new fractional ostrowski-and trapezoid-type inequalities for functions of bounded variations with two variables

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dc.contributor.authorThanin Sitthiwirattham
dc.contributor.authorHŸseyin Budak
dc.contributor.authorHasan Kara
dc.contributor.authorMuhammad Aamir Ali
dc.contributor.authorJiraporn Reunsumrit
dc.contributor.correspondenceT. Sitthiwirattham; Mathematics Department, Faculty of Science and Technology, Suan Dusit University, Bangkok, 10300, Thailand; email: thanin_sit@dusit.ac.th; M.A. Ali; Jiangsu Key Laboratory for NSLSCS, School of Mathematical Sciences, Nanjing Normal University, Nanjing, 210023, China; email: mahr.muhammad.aamir@gmail.com
dc.date.accessioned2025-03-10T07:35:28Z
dc.date.available2025-03-10T07:35:28Z
dc.date.issued2021
dc.description.abstractIn this paper, we first prove three identities for functions of bounded variations. Then, by using these equalities, we obtain several trapezoid-and Ostrowski-type inequalities via generalized fractional integrals for functions of bounded variations with two variables. Moreover, we present some results for RiemannÐLiouville fractional integrals by special choice of the main results. Finally, we investigate the connections between our results and those in earlier works. Analytic inequalities of this nature and especially the techniques involved have applications in various areas in which symmetry plays a prominent role. © 2021 by the authors. Licensee MDPI, Basel, Switzerland.
dc.identifier.citationSymmetry
dc.identifier.doi10.3390/sym13091724
dc.identifier.issn20738994
dc.identifier.scopus2-s2.0-85115800408
dc.identifier.urihttps://repository.dusit.ac.th//handle/123456789/4675
dc.languageEnglish
dc.publisherMDPI
dc.rightsAll Open Access; Gold Open Access
dc.rights.holderScopus
dc.subjectFractional integrals
dc.subjectFunctions of bounded variations
dc.subjectTrapezoid-type inequality
dc.titleOn some new fractional ostrowski-and trapezoid-type inequalities for functions of bounded variations with two variables
dc.typeArticle
mods.location.urlhttps://www.scopus.com/inward/record.uri?eid=2-s2.0-85115800408&doi=10.3390%2fsym13091724&partnerID=40&md5=6190946202cfe3014b0e9ada114d1260
oaire.citation.issue9
oaire.citation.volume13
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