A NOVEL METHOD FOR MILNE-TYPE INEQUALITIES USING PROPORTIONAL CAPUTO-HYBRID OPERATOR

Basit Öğe Kaydı
dc.contributor.authorDemir, Izzettin
dc.date.accessioned2026-07-01T11:39:30Z
dc.date.available2026-07-01T11:39:30Z
dc.date.issued2025
dc.departmentDüzce Üniversitesi
dc.description.abstractIn mathematics and the applied sciences, fractional calculus is a significant generalization and a very useful tool as it overcomes many limitations of classical analysis. More importantly, it is better to use the new hybrid fractional operator, which merges the proportional and Caputo operator. In this study, because of its numerous applications, we concentrate on the proportional Caputo-hybrid operator. First, we propose a new integral identity with the help of twice-differentiable mappings for the proportional Caputo-hybrid operator. Then, with the help of this newly derived identity, we establish several integral inequalities related to the Milne-type integral inequalities for proportional Caputo-hybrid operator. Also, we obtain various Milne-type inequalities for bounded mappings and mappings of bounded variation. Finally, we point out that the obtained results enhance and generalize some of the previous findings in the field of integral inequalities. These results are the first kind of such results in this direction.
dc.identifier.doi10.18514/MMN.2025.4903
dc.identifier.endpage725
dc.identifier.issn1787-2405
dc.identifier.issn1787-2413
dc.identifier.issue2
dc.identifier.scopus2-s2.0-105030236583
dc.identifier.scopusqualityQ2
dc.identifier.startpage701
dc.identifier.urihttps://doi.org/10.18514/MMN.2025.4903
dc.identifier.urihttps://hdl.handle.net/20.500.12684/23333
dc.identifier.volume26
dc.identifier.wosWOS:001648012400011
dc.identifier.wosqualityQ2
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.institutionauthorDemir, Izzettin
dc.language.isoen
dc.publisherUniv Miskolc Inst Math
dc.relation.ispartofMiskolc Mathematical Notes
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_WOS_20260623
dc.subjectMilne-Type Inequalities
dc.subjectConvex Mappings
dc.subjectBounded Mappings
dc.subjectMappings Of Bounded Variation
dc.subjectProportional Caputo-Hybrid Operator
dc.titleA NOVEL METHOD FOR MILNE-TYPE INEQUALITIES USING PROPORTIONAL CAPUTO-HYBRID OPERATOR
dc.typeArticle

Dosyalar

Koleksiyon

WoS İndeksli Yayınlar Koleksiyonu
Scopus İndeksli Yayınlar Koleksiyonu