Novel generalized tempered fractional integral inequalities for convexity property and applications

Basit Öğe Kaydı
dc.contributor.authorKashuri, Artion
dc.contributor.authorMunir, Arslan
dc.contributor.authorBudak, Huseyin
dc.contributor.authorHezenci, Fatih
dc.date.accessioned2025-10-11T20:48:00Z
dc.date.available2025-10-11T20:48:00Z
dc.date.issued2025
dc.departmentDüzce Üniversitesien_US
dc.description.abstractInequalities involving fractional operators have also been an active area of research. These inequalities play a crucial role in establishing bounds, estimates, and stability conditions for solutions to fractional integrals. In this paper, firstly we established two new identities for the case of differentiable convex functions using generalized tempered fractional integral operators. By utilizing these identities, some novel inequalities like Simpson-type, Bullen-type, and trapezoidal-type are proved for differentiable s-convex functions. Additionally, from the obtained results, several special cases of the known results for different choices of parameters are recaptured. Finally, some applications to q-digamma and modified Bessel functions are given.en_US
dc.identifier.doi10.1515/ms-2025-0009
dc.identifier.endpage128en_US
dc.identifier.issn0139-9918
dc.identifier.issn1337-2211
dc.identifier.issue1en_US
dc.identifier.scopus2-s2.0-86000644488en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.startpage113en_US
dc.identifier.urihttps://doi.org/10.1515/ms-2025-0009
dc.identifier.urihttps://hdl.handle.net/20.500.12684/21700
dc.identifier.volume75en_US
dc.identifier.wosWOS:001435562500016en_US
dc.identifier.wosqualityQ2en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherWalter De Gruyter Gmbhen_US
dc.relation.ispartofMathematica Slovacaen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.snmzKA_WOS_20250911
dc.subjectGeneralized tempered fractional integrals operatorsen_US
dc.subjects-convex functionen_US
dc.subjectinequalitiesen_US
dc.subjectq-digamma functionen_US
dc.subjectmodified Bessel functionen_US
dc.titleNovel generalized tempered fractional integral inequalities for convexity property and applicationsen_US
dc.typeArticleen_US

Dosyalar

Koleksiyon

WoS İndeksli Yayınlar Koleksiyonu
Scopus İndeksli Yayınlar Koleksiyonu