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SOME NEW INEQUALITIES FOR DIFFERENTIABLE ARITHMETIC-HARMONICALLY CONVEX FUNCTIONS

MakaleAçık ErişimScopus SJRQ2

Özet

In this study, by using an integral identity together with both the Hölder 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.

Anahtar Kelimeler

26A5126D15arithmetic-harmonically convex function Hermite-Hadamard’s inequalityConvex function
RDL Kalıcı Bağlantı (PID)
https://rdlopen.rawdatalibrary.net/r/bayburt/12856Resmi atıflarda kullanılan kalıcı adres
DOI
https://doi.org/10.46793/kgjmat2505.669kYayıncı resmi DOI adresi
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Tam Kayıt
AlanDeğerDil
dc.contributor.authorKadakal, Mahir
dc.contributor.authorAgarwal, Praveen
dc.contributor.authorİŞcan, İMdat
dc.date.accessioned2026-10-29T19:10:08.271416569Z
dc.date.available2026-10-29T19:10:08.271416569Z
dc.date.issued2025
dc.description.abstractIn this study, by using an integral identity together with both the Hölder 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.sponsorshipNational Board for Higher Mathematics, NBHM
dc.description.sponsorshipRUDN
dc.description.sponsorshipDAE, (02011/12/2020 NBHM (R.P)/RD II/7867)
dc.description.sponsorshipMinistry of Science and Higher Education of the Russian Federation, (104701-2-000)
dc.description.sponsorshipRUDN University, (075-15-2021-603)
dc.identifier.doi10.46793/kgjmat2505.669k
dc.identifier.endpage675
dc.identifier.issn1450-9628
dc.identifier.issue5
dc.identifier.scopus2-s2.0-105018224789
dc.identifier.startpage669
dc.identifier.urihttps://rdlopen.rawdatalibrary.net/r/bayburt/12856
dc.identifier.volume49
dc.identifier.wosWOS:001535009700001
dc.language.isoen
dc.publisherUniversity of Kragujevac, Faculty of Science
dc.relation.ispartofKragujevac Journal of Mathematics
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subject26A51
dc.subject26D15
dc.subjectarithmetic-harmonically convex function Hermite-Hadamard’s inequality
dc.subjectConvex function
dc.subject.classificationMathematics
dc.titleSOME NEW INEQUALITIES FOR DIFFERENTIABLE ARITHMETIC-HARMONICALLY CONVEX FUNCTIONS
dc.typeArticle
rdl.citation.openalex1
rdl.citation.scopus0
rdl.citation.wos0
rdl.oa.statusgold
rdl.oa.urlhttps://imi.pmf.kg.ac.rs/kjm/pub/kjom495/kjm_49_5-1.pdf
rdl.scopus.quartileQ2
rdl.source.indexSCOPUS
rdl.source.indexWOS
rdl.wos.indexEmerging Sources Citation Index (ESCI)