Better approximations for quasi-convex functions

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Özet

In this paper, by using Hölder-Işcan, Hölder integral inequality and an general identity for diérentiable functions we can get new estimates on generalization of Hadamard, Ostrowski and Simpson type integral inequalities for functions whose derivatives in absolute value at certain power are quasi-convex functions. It is proved that the result obtained Hölder-Işcan integral inequality is better than the result obtained Hölder inequality.

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https://rdlopen.rawdatalibrary.net/r/bayburt/13100Resmi atıflarda kullanılan kalıcı adres
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https://doi.org/10.24193/subbmath.2024.2.02Yayıncı resmi DOI adresi
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dc.contributor.authorKadakal, Huriye
dc.date.accessioned2026-10-29T19:10:28.916920658Z
dc.date.available2026-10-29T19:10:28.916920658Z
dc.date.issued2024
dc.description.abstractIn this paper, by using Hölder-Işcan, Hölder integral inequality and an general identity for diérentiable functions we can get new estimates on generalization of Hadamard, Ostrowski and Simpson type integral inequalities for functions whose derivatives in absolute value at certain power are quasi-convex functions. It is proved that the result obtained Hölder-Işcan integral inequality is better than the result obtained Hölder inequality.
dc.identifier.doi10.24193/subbmath.2024.2.02
dc.identifier.eissn2065-961X
dc.identifier.endpage281
dc.identifier.issn0252-1938
dc.identifier.issue2
dc.identifier.scopus2-s2.0-85197285101
dc.identifier.startpage267
dc.identifier.urihttps://rdlopen.rawdatalibrary.net/r/bayburt/13100
dc.identifier.volume69
dc.identifier.wosWOS:001251178100002
dc.language.isoen
dc.publisherBabes-Bolyai University
dc.relation.ispartofStudia Universitatis Babes-Bolyai Mathematica
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectHermite-Hadamard inequality
dc.subjectHölder-Işcan inequality
dc.subjectmidpoint and trapezoid type inequality
dc.subjectquasi-convex functions
dc.subjectSimpson and Ostrowski type inequality
dc.subject.classificationMathematics
dc.subject.otherINTEGRAL-INEQUALITIES
dc.titleBetter approximations for quasi-convex functions
dc.typeArticle
rdl.citation.scopus1
rdl.citation.wos1
rdl.oa.statusgold
rdl.oa.urlhttps://www.cs.ubbcluj.ro/~studia-m/index.php/journal/article/download/1504/pdf
rdl.scopus.quartileQ4
rdl.source.indexSCOPUS
rdl.source.indexWOS
rdl.wos.indexEmerging Sources Citation Index (ESCI)