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STRONGLY HYPERBOLIC TYPE CONVEXITY AND SOME NEW INEQUALITIES

MakaleAçık Erişim

Özet

In this study, we introduce and study the concept of strongly hyperbolic type convexity functions and their some algebraic properties. We obtain Hermite-Hadamard type inequalities for the strongly hyperbolic type convex functions. After that, by using an identity, we get some inequalities for strongly hyperbolic type convex functions. In addition, we compare the results obtained with both Holder, Holder-Iscan inequalities and power-mean, improved power-mean integral inequalities.

Anahtar Kelimeler

Convex functionhyperbolic type convexitystrongly hyperbolic type convexityHolder integral inequalityHolder-Iscan integral inequality
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Web of ScienceWeb of Science
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2
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2
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Tam Kayıt
AlanDeğerDil
dc.contributor.authorKadakal, Huriye
dc.contributor.authorKadakal, Mahir
dc.date.accessioned2026-10-29T19:15:48.956062998Z
dc.date.available2026-10-29T19:15:48.956062998Z
dc.date.issued2023
dc.description.abstractIn this study, we introduce and study the concept of strongly hyperbolic type convexity functions and their some algebraic properties. We obtain Hermite-Hadamard type inequalities for the strongly hyperbolic type convex functions. After that, by using an identity, we get some inequalities for strongly hyperbolic type convex functions. In addition, we compare the results obtained with both Holder, Holder-Iscan inequalities and power-mean, improved power-mean integral inequalities.
dc.identifier.doi10.46939/j.sci.arts-23.3-a02
dc.identifier.eissn2068-3049
dc.identifier.endpage602
dc.identifier.issn1844-9581
dc.identifier.issue3
dc.identifier.startpage587
dc.identifier.urihttps://rdlopen.rawdatalibrary.net/r/bayburt/14399
dc.identifier.wosWOS:001105828500002
dc.language.isoen
dc.publisherEDITURA BIBLIOTHECA-BIBLIOTHECA PUBL HOUSE
dc.relation.ispartofJOURNAL OF SCIENCE AND ARTS
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectConvex function
dc.subjecthyperbolic type convexity
dc.subjectstrongly hyperbolic type convexity
dc.subjectHolder integral inequality
dc.subjectHolder-Iscan integral inequality
dc.subject.classificationMultidisciplinary Sciences
dc.subject.classificationScience & Technology - Other Topics
dc.titleSTRONGLY HYPERBOLIC TYPE CONVEXITY AND SOME NEW INEQUALITIES
dc.typeArticle
rdl.citation.openalex2
rdl.citation.wos2
rdl.oa.statusbronze
rdl.oa.statushybrid
rdl.oa.urlhttps://doi.org/10.46939/j.sci.arts-23.3-a02
rdl.source.indexWOS
rdl.wos.indexEmerging Sources Citation Index (ESCI)