Conformable fractional Newton-type inequalities with respect to differentiable convex functions

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dc.authoridUNAL, CIHAN/0000-0002-7242-393X
dc.contributor.authorUnal, Cihan
dc.contributor.authorHezenci, Fatih
dc.contributor.authorBudak, Huseyin
dc.date.accessioned2025-03-23T19:30:39Z
dc.date.available2025-03-23T19:30:39Z
dc.date.issued2023
dc.departmentSinop Üniversitesi
dc.description.abstractThe authors propose a new method of investigation of an integral identity according to conformable fractional operators. Moreover, some Newton-type inequalities are considered for differentiable convex functions by taking the modulus of the newly established equality. In addition, we prove several Newton-type inequalities with the aid of Holder and power-mean inequalities. Furthermore, several new results are given by using special choices of the obtained inequalities. Finally, we give several inequalities of conformable fractional Newton-type for functions of bounded variation.
dc.identifier.doi10.1186/s13660-023-02996-0
dc.identifier.issn1029-242X
dc.identifier.issue1
dc.identifier.scopus2-s2.0-85162034229
dc.identifier.scopusqualityQ1
dc.identifier.urihttps://doi.org/10.1186/s13660-023-02996-0
dc.identifier.urihttps://hdl.handle.net/11486/5132
dc.identifier.volume2023
dc.identifier.wosWOS:001009215400001
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherSpringer
dc.relation.ispartofJournal of Inequalities and Applications
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_WOS_20250323
dc.subjectNewton formula
dc.subjectFractional calculus
dc.subjectConformable fractional integrals
dc.titleConformable fractional Newton-type inequalities with respect to differentiable convex functions
dc.typeArticle

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