Some new simpsonÕs and newtonÕs formulas type inequalities for convex functions in quantum calculus

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dc.contributor.authorPimchana Siricharuanun
dc.contributor.authorSamet Erden
dc.contributor.authorMuhammad Aamir Ali
dc.contributor.authorHŸseyin Budak
dc.contributor.authorSaowaluck Chasreechai
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.accessioned2025-03-10T07:35:28Z
dc.date.available2025-03-10T07:35:28Z
dc.date.issued2021
dc.description.abstractIn this paper, using the notions of q_ 2-quantum integral and q_ 2-quantum derivative, we present some new identities that enable us to obtain new quantum SimpsonÕs and quantum NewtonÕs type inequalities for quantum differentiable convex functions. This paper, in particular, generalizes and expands previous findings in the field of quantum and classical integral inequalities obtained by various authors. © 2021 by the authors. Licensee MDPI, Basel, Switzerland.
dc.identifier.citationMathematics
dc.identifier.doi10.3390/math9161992
dc.identifier.issn22277390
dc.identifier.scopus2-s2.0-85113585628
dc.identifier.urihttps://repository.dusit.ac.th//handle/123456789/4695
dc.languageEnglish
dc.publisherMDPI AG
dc.rightsAll Open Access; Gold Open Access
dc.rights.holderScopus
dc.subjectConvex functions
dc.subjectNewtonÕs inequalities
dc.subjectQuantum calculus
dc.subjectSimpsonÕs inequalities
dc.titleSome new simpsonÕs and newtonÕs formulas type inequalities for convex functions in quantum calculus
dc.typeArticle
mods.location.urlhttps://www.scopus.com/inward/record.uri?eid=2-s2.0-85113585628&doi=10.3390%2fmath9161992&partnerID=40&md5=379e3706c30bc186267f50bd86ddfef6
oaire.citation.issue16
oaire.citation.volume9
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