FRACTIONAL HERMITEÐHADAMARD INEQUALITY, SIMPSONÕS AND OSTROWSKIÕS TYPE INEQUALITIES FOR CONVEX FUNCTIONS WITH RESPECT TO A PAIR OF FUNCTIONS

Simple item page
dc.contributor.authorJianqiang Xie
dc.contributor.authorMuhammad Aamir Ali
dc.contributor.authorHŸseyin Budak
dc.contributor.authorMichal Fe_kan
dc.contributor.authorThanin Sitthiwirattham
dc.contributor.correspondenceM.A. Ali; School of Mathematical Sciences, Nanjing Normal University, Nanjing, China; email: mahr.muhammad.aamir@gmail.com
dc.date.accessioned2025-03-10T07:34:44Z
dc.date.available2025-03-10T07:34:44Z
dc.date.issued2023
dc.description.abstractWe consider the convexity with respect to a pair of functions and establish a HermiteÐHadamard type inequality for RiemannÐLiouville fractional integrals. Moreover, we derive some new SimpsonÕs and OstrowskiÕs type inequalities for differentiable convex mapping with respect to a pair of functions. We also show that the newly established inequalities are the extension of some existing inequalities. Finally, we consider some mathematical examples and graphs to show the validity of the newly established inequalities. © Rocky Mountain Mathematics Consortium.
dc.identifier.citationRocky Mountain Journal of Mathematics
dc.identifier.doi10.1216/rmj.2023.53.611
dc.identifier.issn357596
dc.identifier.scopus2-s2.0-85166416902
dc.identifier.urihttps://repository.dusit.ac.th//handle/123456789/4550
dc.languageEnglish
dc.publisherRocky Mountain Mathematics Consortium
dc.rights.holderScopus
dc.subject(g,h)-convex functions
dc.subjectfractional calculus
dc.subjectHermiteÐHadamard inequality
dc.subjectOstrowskiÕs inequality
dc.subjectSimpsonÕs inequality
dc.titleFRACTIONAL HERMITEÐHADAMARD INEQUALITY, SIMPSONÕS AND OSTROWSKIÕS TYPE INEQUALITIES FOR CONVEX FUNCTIONS WITH RESPECT TO A PAIR OF FUNCTIONS
dc.typeArticle
mods.location.urlhttps://www.scopus.com/inward/record.uri?eid=2-s2.0-85166416902&doi=10.1216%2frmj.2023.53.611&partnerID=40&md5=4bfd97db680c92f13ec1ca41a58376b6
oaire.citation.endPage628
oaire.citation.issue2
oaire.citation.startPage611
oaire.citation.volume53
Files
Collections
SCOPUS 2023