Post-Quantum Midpoint-Type Inequalities Associated with Twice-Differentiable Functions

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dc.contributor.authorThanin Sitthiwirattham
dc.contributor.authorGhulam Murtaza
dc.contributor.authorMuhammad Aamir Ali
dc.contributor.authorChanon Promsakon
dc.contributor.authorIfra Bashir Sial
dc.contributor.authorPraveen Agarwal
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.accessioned2025-03-10T07:35:06Z
dc.date.available2025-03-10T07:35:06Z
dc.date.issued2022
dc.description.abstractIn this study, first we establish a (p, q)-integral identity involving the second (p, q)-derivative, and then, we use this result to prove some new midpoint-type inequalities for twice-(p, q)-differentiable convex functions. It is also shown that the newly established results are the refinements of the comparable results in the literature. © 2022 by the authors. Licensee MDPI, Basel, Switzerland.
dc.identifier.citationAxioms
dc.identifier.doi10.3390/axioms11020046
dc.identifier.issn20751680
dc.identifier.scopus2-s2.0-85123413160
dc.identifier.urihttps://repository.dusit.ac.th//handle/123456789/4608
dc.languageEnglish
dc.publisherMDPI
dc.rightsAll Open Access; Gold Open Access
dc.rights.holderScopus
dc.subject(p, q)-calculus
dc.subjectConvex functions
dc.subjectHermiteÐHadamard inequality
dc.titlePost-Quantum Midpoint-Type Inequalities Associated with Twice-Differentiable Functions
dc.typeArticle
mods.location.urlhttps://www.scopus.com/inward/record.uri?eid=2-s2.0-85123413160&doi=10.3390%2faxioms11020046&partnerID=40&md5=d8794b9aa57e6cfb414f5baa05dd59d8
oaire.citation.issue2
oaire.citation.volume11
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