ON SOME NEW AND GENERAL q-HERMITEÐHADAMARD TYPE INEQUALITIES FOR CONVEX FUNCTIONS

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dc.contributor.authorZoya Abdullah
dc.contributor.authorAwais Yousaf
dc.contributor.authorChanon Promsakon
dc.contributor.authorThanin Sitthiwirattham
dc.contributor.correspondenceA. Yousaf; Department of Mathematics, The Islamia University of Bahawalpur, Bahawalpur, Pakistan; email: awais.yousaf@iub.edu.pk
dc.date.accessioned2025-03-10T07:34:21Z
dc.date.available2025-03-10T07:34:21Z
dc.date.issued2024
dc.description.abstractIn this paper, we establish a new version of HermiteÐHadamard type inequality for convex functions. Moreover, we establish a general version of q-integral identity involving qdifferentiable functions to prove some new q-midpoint and q-trapezoidal type inequalities for q-differentiable convex functions. It is also shown that the newly established inequalities can be converted into some existing inequalities within the literature. Finally, we add some mathematical examples to show the validation of newly established inequalities. © 2024 The Author(s). Published by Miskolc University Press. This is an open access article under the license CC BY 4.0.
dc.identifier.citationMiskolc Mathematical Notes
dc.identifier.doi10.18514/MMN.2024.4300
dc.identifier.issn17872405
dc.identifier.scopus2-s2.0-85196058311
dc.identifier.urihttps://repository.dusit.ac.th//handle/123456789/4506
dc.languageEnglish
dc.publisherUniversity of Miskolc
dc.rightsAll Open Access; Gold Open Access; Green Open Access
dc.rights.holderScopus
dc.subjectconvex functions
dc.subjectHermite-Hadamard inequality
dc.subjectmidpoint inequalities
dc.subjecttrapezoid inequalities
dc.titleON SOME NEW AND GENERAL q-HERMITEÐHADAMARD TYPE INEQUALITIES FOR CONVEX FUNCTIONS
dc.typeArticle
mods.location.urlhttps://www.scopus.com/inward/record.uri?eid=2-s2.0-85196058311&doi=10.18514%2fMMN.2024.4300&partnerID=40&md5=a4fd84bf33ed17287a50da5fe65ac98b
oaire.citation.endPage34
oaire.citation.issue1
oaire.citation.startPage21
oaire.citation.volume25
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