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New generalized weighted fractional varıants of hermite-hadamard inequalities with applications

dc.contributor.authorNápoles J.E.
dc.contributor.authorBayraktar, Bahtiyar
dc.contributor.authorButt S.I.
dc.contributor.buuauthorBAYRAKTAR, BAHTİYAR
dc.contributor.departmentEğitim Fakültesi
dc.contributor.orcid0000-0001-7594-8291
dc.contributor.scopusid55320522100
dc.date.accessioned2025-05-12T22:31:21Z
dc.date.issued2024-01-01
dc.description.abstractIntegral inequalities play a fundamental role in various mathematical elds, which have led to new methods and theoretical developments, both pure and applied. The need for searching for precise inequalities, in which the notion of convexity plays an important role, has a high impact on approximation theory calculus. In this paper, we rst obtained a new version of the weighted fractional identity that led us to obtain new variants of weighted Hermite-Hadamard and Bullen type inequalities. We then presented several re nements of it in the framework of weighted integrals for the modi ed second type (h, m)-convex functions.
dc.identifier.doi10.33048/semi.2024.21.047
dc.identifier.endpage701
dc.identifier.issn18133304
dc.identifier.issue2
dc.identifier.scopus2-s2.0-85207349722
dc.identifier.startpage684
dc.identifier.urihttps://hdl.handle.net/11452/51342
dc.identifier.volume21
dc.indexed.scopusScopus
dc.language.isoen
dc.publisherSobolev Institute of Mathematics
dc.relation.journalSiberian Electronic Mathematical Reports
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.subjectWeighted fractional integrals operators
dc.subjectHölder’s inequality
dc.subjectHermite-Hadamard integral inequality
dc.subjectBullen type inequality
dc.subject(h,m)−convex modi ed functions
dc.subject.scopusGeneralized Convex Functions and Integral Inequalities
dc.titleNew generalized weighted fractional varıants of hermite-hadamard inequalities with applications
dc.typeArticle
dspace.entity.typePublication
local.contributor.departmentEğitim Fakültesi
relation.isAuthorOfPublication4d1a94ce-504e-499e-91e8-689abbf37041
relation.isAuthorOfPublication.latestForDiscovery4d1a94ce-504e-499e-91e8-689abbf37041

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