On Some New OstrowskiÐMercer-Type Inequalities for Differentiable Functions

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dc.contributor.authorIfra Bashir Sial
dc.contributor.authorNichaphat Patanarapeelert
dc.contributor.authorMuhammad Aamir Ali
dc.contributor.authorHŸseyin Budak
dc.contributor.authorThanin Sitthiwirattham
dc.contributor.correspondenceM.A. Ali; Jiangsu Key Laboratory for NSLSCS, School of Mathematical Sciences, Nanjing Normal University, Nanjing, 210023, China; email: mahr.muhammad.aamir@gmail.com; T. Sitthiwirattham; Mathematics Department, Faculty of Science and Technology, Suan Dusit University, Bangkok, 10300, Thailand; email: thanin_sit@dusit.ac.th
dc.date.accessioned2025-03-10T07:35:06Z
dc.date.available2025-03-10T07:35:06Z
dc.date.issued2022
dc.description.abstractIn this paper, we establish a new integral identity involving differentiable functions, and then we use the newly established identity to prove some OstrowskiÐMercer-type inequalities for differentiable convex functions. It is also demonstrated that the newly established inequalities are generalizations of some of the Ostrowski inequalities established inside the literature. There are also some applications to the special means of real numbers given. © 2022 by the authors. Licensee MDPI, Basel, Switzerland.
dc.identifier.citationAxioms
dc.identifier.doi10.3390/axioms11030132
dc.identifier.issn20751680
dc.identifier.scopus2-s2.0-85127039296
dc.identifier.urihttps://repository.dusit.ac.th//handle/123456789/4614
dc.languageEnglish
dc.publisherMDPI
dc.rightsAll Open Access; Gold Open Access
dc.rights.holderScopus
dc.subjectconvex functions
dc.subjectJensenÐMercer inequality
dc.subjectOstrowski inequality
dc.titleOn Some New OstrowskiÐMercer-Type Inequalities for Differentiable Functions
dc.typeArticle
mods.location.urlhttps://www.scopus.com/inward/record.uri?eid=2-s2.0-85127039296&doi=10.3390%2faxioms11030132&partnerID=40&md5=f240dbc12bff73d5178d1e790aed8e25
oaire.citation.issue3
oaire.citation.volume11
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