INVERSE TRIGONOMETRICALLY CONVEXITY AND BETTER APPROXIMATIONS

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dc.contributor.authorKadakal, Huriye
dc.contributor.authorKadakal, Mahir
dc.date.accessioned2026-02-28T12:18:10Z
dc.date.available2026-02-28T12:18:10Z
dc.date.issued2025
dc.departmentBayburt Üniversitesi
dc.description.abstractIn this paper, we introduce and study the concept of inverse trigonometrically convex functions and their some algebraic properties. We prove some Hermite-Hadamard type integral inequalities for the newly introduced class of functions. We also obtain some refinements of the Hermite-Hadamard inequality for functions whose first derivative in absolute value is inverse trigonometrically convex. Moreover, we proved that Holder-I(center dot)s, can and improved power-mean integral inequalities give a better approach than Holder and power-mean inequalities.
dc.identifier.doi10.18514/MMN.2025.4519
dc.identifier.endpage319
dc.identifier.issn1787-2405
dc.identifier.issn1787-2413
dc.identifier.issue1
dc.identifier.scopus2-s2.0-105008014822
dc.identifier.scopusqualityQ2
dc.identifier.startpage305
dc.identifier.urihttps://doi.org/10.18514/MMN.2025.4519
dc.identifier.urihttps://hdl.handle.net/20.500.12403/6139
dc.identifier.volume26
dc.identifier.wosWOS:001545633100021
dc.identifier.wosqualityQ2
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherUniv Miskolc Inst Math
dc.relation.ispartofMiskolc Mathematical Notes
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_WoS_20260218
dc.subjectinverse trigonometrically convexity
dc.subjectHolder-Iscan inequality
dc.subjectimproved power-mean inequality
dc.subjectHermite-Hadamard inequality
dc.titleINVERSE TRIGONOMETRICALLY CONVEXITY AND BETTER APPROXIMATIONS
dc.typeArticle

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