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INEQUALITIES OF HERMITE-HADAMARD TYPE FOR n-TIMES DIFFERENTIABLE ARITHMETIC-HARMONICALLY FUNCTIONS

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Özet

In this work, by using an integral identity together with both the Holder and the power-mean integral inequalities we establish several new inequalities for n-times differentiable arithmetic-harmonically-convex function. Then, using this inequalities, we obtain some new inequalities connected with means. In special cases, the results obtained coincide with the well-known results in the literature.

Anahtar Kelimeler

Convex functionHermite-Hadamard's inequalityHolder-Iscan inequalityImproved power mean inequality
RDL Kalıcı Bağlantı (PID)
https://rdlopen.rawdatalibrary.net/r/bayburt/14351Resmi atıflarda kullanılan kalıcı adres
DOI
https://doi.org/10.5831/hmj.2022.44.2.244Yayıncı resmi DOI adresi
İndeks kayıtları
Web of ScienceWeb of Science
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1
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Tam Kayıt
AlanDeğerDil
dc.contributor.authorKadakal, Huriye
dc.date.accessioned2026-10-29T19:15:45.836341501Z
dc.date.available2026-10-29T19:15:45.836341501Z
dc.date.issued2022-06
dc.description.abstractIn this work, by using an integral identity together with both the Holder and the power-mean integral inequalities we establish several new inequalities for n-times differentiable arithmetic-harmonically-convex function. Then, using this inequalities, we obtain some new inequalities connected with means. In special cases, the results obtained coincide with the well-known results in the literature.
dc.identifier.doi10.5831/hmj.2022.44.2.244
dc.identifier.eissn2288-6176
dc.identifier.endpage258
dc.identifier.issn1225-293X
dc.identifier.issue2
dc.identifier.startpage244
dc.identifier.urihttps://rdlopen.rawdatalibrary.net/r/bayburt/14351
dc.identifier.volume44
dc.identifier.wosWOS:000822821900008
dc.language.isoen
dc.publisherHONAM MATHEMATICAL SOC
dc.relation.ispartofHONAM MATHEMATICAL JOURNAL
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.subjectConvex function
dc.subjectHermite-Hadamard's inequality
dc.subjectHolder-Iscan inequality
dc.subjectImproved power mean inequality
dc.subject.classificationMathematics
dc.subject.otherINTEGRAL-INEQUALITIES
dc.subject.otherCONVEX
dc.titleINEQUALITIES OF HERMITE-HADAMARD TYPE FOR n-TIMES DIFFERENTIABLE ARITHMETIC-HARMONICALLY FUNCTIONS
dc.typeArticle
rdl.citation.wos1
rdl.oa.statusclosed
rdl.source.indexWOS
rdl.wos.indexEmerging Sources Citation Index (ESCI)