FRACTIONAL HERMITE-HADAMARD INEQUALITY AND ERROR ESTIMATES FOR SIMPSONÕS FORMULA THROUGH CONVEXITY WITH RESPECT TO A PAIR OF FUNCTIONS

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dc.contributor.authorMuhammad Aamir Ali
dc.contributor.authorJarunee Soontharanon
dc.contributor.authorHŸseyin Budak
dc.contributor.authorThanin Sitthiwirattham
dc.contributor.authorMichal Fe_kan
dc.contributor.correspondenceM. Fe_kan; Department of Mathematical Analysis and Numerical Mathematics, Comenius University in Bratislava, Bratislava, Mlynsk‡ dolina, 842 48, Slovakia; email: michal.feckan@fmph.uniba.sk
dc.date.accessioned2025-03-10T07:34:45Z
dc.date.available2025-03-10T07:34:45Z
dc.date.issued2023
dc.description.abstractIn this article, we establish two new and different versions of fractional Hermite-Hadamard type inequality for the convex functions with respect to a pair of functions. Moreover, we establish a new SimpsonÕs type inequalities for differentiable convex functions with respect to a pair of functions. We also prove two more SimpsonÕs type inequalities for differentiable convex functions with respect to a pair of functions using the power mean and HšlderÕs inequalities. It is also shown that the newly established inequalities are the extension of some existing results. Finally, we add some mathematical examples and their graphs to show the validity of newly established results. © 2023 Miskolc University Press
dc.identifier.citationMiskolc Mathematical Notes
dc.identifier.doi10.18514/MMN.2023.4214
dc.identifier.issn17872405
dc.identifier.scopus2-s2.0-85167911549
dc.identifier.urihttps://repository.dusit.ac.th//handle/123456789/4563
dc.languageEnglish
dc.publisherUniversity of Miskolc
dc.rightsAll Open Access; Bronze Open Access
dc.rights.holderScopus
dc.subject(g
dc.subjecth)-convex functions
dc.subjectHermite-Hadamard inequality
dc.subjectSimpsonÕs inequality
dc.titleFRACTIONAL HERMITE-HADAMARD INEQUALITY AND ERROR ESTIMATES FOR SIMPSONÕS FORMULA THROUGH CONVEXITY WITH RESPECT TO A PAIR OF FUNCTIONS
dc.typeArticle
mods.location.urlhttps://www.scopus.com/inward/record.uri?eid=2-s2.0-85167911549&doi=10.18514%2fMMN.2023.4214&partnerID=40&md5=0e0087c37a6c5e5c2d7225ea4b2c167e
oaire.citation.endPage568
oaire.citation.issue2
oaire.citation.startPage553
oaire.citation.volume24
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