SOME NEW INEQUALITIES FOR DIFFERENTIABLE ARITHMETIC-HARMONICALLY CONVEX FUNCTIONS

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dc.contributor.authorKadakal, Mahir
dc.contributor.authorAgarwal, Praveen
dc.contributor.authorIscan, Imdat
dc.date.accessioned2026-02-28T12:18:21Z
dc.date.available2026-02-28T12:18:21Z
dc.date.issued2025
dc.departmentBayburt Üniversitesi
dc.description.abstractIn this study, by using an integral identity together with both the H & ouml;lder and the power-mean inequalities for integrals we establish several new inequalities for differentiable arithmetic-harmonically-convex function. Also, we give some applications for special means.
dc.description.sponsorshipMinistry of Science and High Education of the Russian Federation; Peoples Friendship University of Russia [075-15-2021-603]; RUDN University Strategic Academic Leadership Program [02011/12/2020 NBHM (R.P) /RD II/7867]; Peoples' Friendship University of Russia [104701-2-000]
dc.description.sponsorshipThe article and its translation were prepared within the framework of the agreement between the Ministry of Science and High Education of the Russian Federation and the Peoples Friendship University of Russia No. 075-15-2021-603: Development of the new methodology and intellectual base for the new-generation research of Indian philosophy in correlation with the main World Philosophical Traditions. This article has been supported also by the RUDN University Strategic Academic Leadership Program. The authors are also thankful to NBHM (DAE) Grant Number: 02011/12/2020 NBHM (R.P) /RD II/7867 and Ministry of Science and High Education of the Russian Federation and the Peoples' Friendship University of Russia, Grant No. 104701-2-000 Cognitive strategies of the main philosophical traditions of Eurasia of the RUDN Strategic Academic Leadership Program Priority-2030.
dc.identifier.doi10.46793/KgJMat2505.669K
dc.identifier.endpage675
dc.identifier.issn1450-9628
dc.identifier.issue3
dc.identifier.scopus2-s2.0-105018224789
dc.identifier.scopusqualityQ1
dc.identifier.startpage669
dc.identifier.urihttps://doi.org/10.46793/KgJMat2505.669K
dc.identifier.urihttps://hdl.handle.net/20.500.12403/6207
dc.identifier.volume49
dc.identifier.wosWOS:001535009700001
dc.identifier.wosqualityQ3
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherUniv Kragujevac, Fac Science
dc.relation.ispartofKragujevac Journal of Mathematics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_WoS_20260218
dc.subjectConvex function
dc.subjectarithmetic-harmonically convex function Hermite-Hadamard's inequality
dc.titleSOME NEW INEQUALITIES FOR DIFFERENTIABLE ARITHMETIC-HARMONICALLY CONVEX FUNCTIONS
dc.typeArticle

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