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LOGARITHMIC SEMI P-FUNCTION AND SOME NEW INEQUALITIES

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Özet

In this study, we introduce and study the concept of logarithmic semi P functions and their some algebraic properties. Then, we obtain the Hermite-Hadamard integral inequality for the log semi-P-functions. After that, we obtain some new inequalities by using Hölder, Hölder-İşcan and power-mean integral inequalities and show that the result obtained with Hölder-İşcan inequality gives better approach than the Hölder integral inequality. Some applications to special means of real numbers are also given.

Anahtar Kelimeler

Hermite-Hadamard inequalityHölder-İşcan inequalityimproved power-mean inequalityLogarithmic semi P-function
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AlanDeğerDil
dc.contributor.authorKadakal, Mahir
dc.contributor.authorİşcan, İmdat
dc.date.accessioned2026-10-29T19:10:20.248890248Z
dc.date.available2026-10-29T19:10:20.248890248Z
dc.date.issued2024
dc.description.abstractIn this study, we introduce and study the concept of logarithmic semi P functions and their some algebraic properties. Then, we obtain the Hermite-Hadamard integral inequality for the log semi-P-functions. After that, we obtain some new inequalities by using Hölder, Hölder-İşcan and power-mean integral inequalities and show that the result obtained with Hölder-İşcan inequality gives better approach than the Hölder integral inequality. Some applications to special means of real numbers are also given.
dc.identifier.endpage67
dc.identifier.issn2602-4187
dc.identifier.issue1
dc.identifier.scopus2-s2.0-85209790736
dc.identifier.startpage57
dc.identifier.urihttps://rdlopen.rawdatalibrary.net/r/bayburt/13002
dc.identifier.volume8
dc.language.isoen
dc.publisherErhan SET
dc.relation.ispartofTurkish Journal of Inequalities
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.subjectHermite-Hadamard inequality
dc.subjectHölder-İşcan inequality
dc.subjectimproved power-mean inequality
dc.subjectLogarithmic semi P-function
dc.titleLOGARITHMIC SEMI P-FUNCTION AND SOME NEW INEQUALITIES
dc.typeArticle
rdl.citation.scopus1
rdl.oa.statusclosed
rdl.scopus.quartileQ3
rdl.source.indexSCOPUS