OPEN NEWTON-COTES INEQUALITIES FOR CONVEX FUNCTIONS IN FRACTIONAL CALCULUS

dc.contributor.authorSitthiwirattham, Thanin
dc.contributor.authorAli, Muhammad Aamir
dc.contributor.authorBudak, Huseyin
dc.contributor.authorPromsakon, Chanon
dc.date.accessioned2025-10-11T20:48:01Z
dc.date.available2025-10-11T20:48:01Z
dc.date.issued2025
dc.departmentDüzce Üniversitesien_US
dc.description.abstractWe establish error bounds for the open Newton-Cotes formula with n = 1 for differentiable convex functions in fractional calculus. We use for this purpose an integral identity, which we prove, having Riemann-Liouville fractional integral and ordinary derivative. We give applications for special means, and add an example to show the validity of inequalities with a graph for different values of fractional parameter alpha.en_US
dc.description.sponsorshipNational Science, Research and Innovation Fund (NSRF)en_US
dc.description.sponsorshipKing Mongkut's University of Technology North Bangkok [KMUTNB-FF-65-49]en_US
dc.description.sponsorshipThis research was funded by National Science, Research and Innovation Fund (NSRF) , and King Mongkut's University of Technology North Bangkok with Contract no. KMUTNB-FF-65-49.en_US
dc.identifier.doi10.1216/rmj.2025.55.255
dc.identifier.endpage263en_US
dc.identifier.issn0035-7596
dc.identifier.issn1945-3795
dc.identifier.issue1en_US
dc.identifier.scopus2-s2.0-105005882212en_US
dc.identifier.scopusqualityQ3en_US
dc.identifier.startpage255en_US
dc.identifier.urihttps://doi.org/10.1216/rmj.2025.55.255
dc.identifier.urihttps://hdl.handle.net/20.500.12684/21712
dc.identifier.volume55en_US
dc.identifier.wosWOS:001501956700018en_US
dc.identifier.wosqualityQ2en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherRocky Mt Math Consortiumen_US
dc.relation.ispartofRocky Mountain Journal of Mathematicsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.snmzKA_WOS_20250911
dc.subjectopen Newton-Cotes formulaen_US
dc.subjectconvex functionen_US
dc.titleOPEN NEWTON-COTES INEQUALITIES FOR CONVEX FUNCTIONS IN FRACTIONAL CALCULUSen_US
dc.typeArticleen_US

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