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HERMITE–HADAMARD TYPE INTEGRAL INEQUALITIES FOR SEMIHARMONICALLY P-FUNCTIONS

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Özet

The authors introduce the concept of semiharmonically P-functions and establish some Hermite–Hadamard type integral inequalities for these classes of functions. Also, the authors compare the results obtained Hölder and Hölder–˙ I¸scan inequalities and show that the result obtained with Hölder–˙ I¸scan inequalities give better approach than the others. Some applications to special means of real numbers are also given.

Anahtar Kelimeler

harmonically convex functionHermite–Hadamard type inequalitysemi-harmonically P-function
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https://rdlopen.rawdatalibrary.net/r/bayburt/12748Resmi atıflarda kullanılan kalıcı adres
DOI
https://doi.org/10.1216/rmj.2025.55.1637Yayıncı resmi DOI adresi
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dc.contributor.authorKadakal, Mahir
dc.contributor.authorIscan, İMDAT
dc.contributor.authorKadakal, Huriye
dc.date.accessioned2026-10-29T19:09:58.761331699Z
dc.date.available2026-10-29T19:09:58.761331699Z
dc.date.issued2025
dc.description.abstractThe authors introduce the concept of semiharmonically P-functions and establish some Hermite–Hadamard type integral inequalities for these classes of functions. Also, the authors compare the results obtained Hölder and Hölder–˙ I¸scan inequalities and show that the result obtained with Hölder–˙ I¸scan inequalities give better approach than the others. Some applications to special means of real numbers are also given.
dc.identifier.doi10.1216/rmj.2025.55.1637
dc.identifier.eissn1945-3795
dc.identifier.endpage1649
dc.identifier.issn0035-7596
dc.identifier.issue6
dc.identifier.scopus2-s2.0-105031520767
dc.identifier.startpage1637
dc.identifier.urihttps://rdlopen.rawdatalibrary.net/r/bayburt/12748
dc.identifier.volume55
dc.identifier.wosWOS:001650519300011
dc.language.isoen
dc.publisherRocky Mountain Mathematics Consortium
dc.relation.ispartofRocky Mountain Journal of Mathematics
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.subjectharmonically convex function
dc.subjectHermite–Hadamard type inequality
dc.subjectsemi-harmonically P-function
dc.subject.classificationMathematics
dc.titleHERMITE–HADAMARD TYPE INTEGRAL INEQUALITIES FOR SEMIHARMONICALLY P-FUNCTIONS
dc.typeArticle
rdl.citation.openalex0
rdl.citation.scopus0
rdl.citation.wos0
rdl.oa.statusclosed
rdl.scopus.quartileQ2
rdl.source.indexSCOPUS
rdl.source.indexWOS
rdl.wos.indexScience Citation Index Expanded (SCI-EXPANDED)