Some novel fractional Milne-type inequalities for twice differentiable s-convex functions in the second sense

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dc.authorid0000-0003-0303-5623
dc.authorid0000-0001-5970-1926
dc.contributor.authorAslan, Sinan
dc.contributor.authorDemir, Umit
dc.contributor.authorKaraduman, Ebru
dc.contributor.authorAkdemir, Ahmet Ocak
dc.date.accessioned2026-02-28T12:18:11Z
dc.date.available2026-02-28T12:18:11Z
dc.date.issued2025
dc.departmentBayburt Üniversitesi
dc.description.abstractIn this paper, a special identity for twice differentiable functions, which is available in the literature, is utilized. By combining this identity with Riemann-Liouville fractional integrals, various fractional Milne-type inequalities are obtained for functions whose second derivatives in absolute value are s-convex in the second sense. Moreover, Holder and Young inequalities are used to prove the different and original results. These approaches contribute to the analysis of s-convex functions and offer new perspectives in the field of fractional analysis.
dc.identifier.doi10.2298/FIL2510425A
dc.identifier.endpage3435
dc.identifier.issn0354-5180
dc.identifier.issue10
dc.identifier.scopus2-s2.0-105001270011
dc.identifier.scopusqualityQ2
dc.identifier.startpage3425
dc.identifier.urihttps://doi.org/10.2298/FIL2510425A
dc.identifier.urihttps://hdl.handle.net/20.500.12403/6155
dc.identifier.volume39
dc.identifier.wosWOS:001469410600018
dc.identifier.wosqualityQ2
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherUniv Nis, Fac Sci Math
dc.relation.ispartofFilomat
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_WoS_20260218
dc.subjectHolder inequality
dc.subjectYoung inequality
dc.subjects-convex functions
dc.subjectMilne type inequalities
dc.titleSome novel fractional Milne-type inequalities for twice differentiable s-convex functions in the second sense
dc.typeArticle

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