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Inequalities of the 3/8-simpson type for differentiable functions via generalized fractional operators

dc.contributor.authorBayraktar, B.
dc.contributor.authorGömez, L.
dc.contributor.authorNapoles, J. E.
dc.contributor.buuauthorBAYRAKTAR, BAHTİYAR
dc.contributor.departmentEğitim Fakültesi
dc.contributor.researcheridABI-7823-2020
dc.date.accessioned2025-10-21T09:18:57Z
dc.date.issued2025-01-01
dc.description.abstractSimpson-type inequalities are an important tool in mathematical analysis, particularly in the study of integrals. In this paper, we present new generalized 3/8-Simpson-type inequalities for functions whose first derivative modulus is (h, m)-convex and satisfies the Lipschitz condition via weight integral operators. To obtain these results, we use a new integral identity established in our study. This research generalizes, extends, and complements the results in the literature.
dc.identifier.doi10.15393/j3.art.2025.17330
dc.identifier.endpage52
dc.identifier.issn2306-3424
dc.identifier.issue2
dc.identifier.scopus2-s2.0-105008784197
dc.identifier.startpage25
dc.identifier.urihttps://doi.org/10.15393/j3.art.2025.17330
dc.identifier.urihttps://hdl.handle.net/11452/55958
dc.identifier.volume14
dc.identifier.wos001513110100002
dc.indexed.wosWOS.ESCI
dc.language.isoen
dc.publisherPetrozavodsk state univ
dc.relation.journalProblemy analiza-issues of analysis
dc.subjectSimpson-like inequalities
dc.subjectIntegral-inequalities
dc.subjectConvex-functions
dc.subjectS-convex
dc.subjectDerivatives
dc.subjectConvex function
dc.subjectSimpson-type inequality
dc.subjectWeighted integral operator
dc.subjectHolder inequality
dc.subjectPower mean inequality
dc.subjectYoung inequality
dc.subjectLipschitz function
dc.subjectScience & Technology
dc.subjectPhysical Sciences
dc.subjectMathematics
dc.titleInequalities of the 3/8-simpson type for differentiable functions via generalized fractional operators
dc.typeArticle
dspace.entity.typePublication
local.contributor.departmentEğitim Fakültesi
local.indexed.atWOS
local.indexed.atScopus
relation.isAuthorOfPublication4d1a94ce-504e-499e-91e8-689abbf37041
relation.isAuthorOfPublication.latestForDiscovery4d1a94ce-504e-499e-91e8-689abbf37041

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