Some New Integral Inequalities for Exponential Type P-functions

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In this paper, by using an identity we obtain some new Hermite-Hadamard type inequalities for functions whose first derivative in absolute value is exponential type P-function by using Hölder and power-mean integral inequalities. Then, the authors compare the results obtained with both Hölder, Hölder-İşcan integral inequalities and prove that the Hölder-İşcan integral inequality gives a better approximation than the Hölder integral inequality. Also, some applications to special means of real numbers are also given.

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https://rdlopen.rawdatalibrary.net/r/bayburt/12970Resmi atıflarda kullanılan kalıcı adres
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dc.contributor.authorKadakal, Mahir
dc.contributor.authorİmdat, Işcan
dc.contributor.authorKadakal, Huriye
dc.date.accessioned2026-10-29T19:10:18.022951052Z
dc.date.available2026-10-29T19:10:18.022951052Z
dc.date.issued2024
dc.description.abstractIn this paper, by using an identity we obtain some new Hermite-Hadamard type inequalities for functions whose first derivative in absolute value is exponential type P-function by using Hölder and power-mean integral inequalities. Then, the authors compare the results obtained with both Hölder, Hölder-İşcan integral inequalities and prove that the Hölder-İşcan integral inequality gives a better approximation than the Hölder integral inequality. Also, some applications to special means of real numbers are also given.
dc.identifier.doi10.52846/ami.v51i2.1745
dc.identifier.eissn2246-9958
dc.identifier.endpage302
dc.identifier.issn1223-6934
dc.identifier.issue2
dc.identifier.scopus2-s2.0-85216570702
dc.identifier.startpage291
dc.identifier.urihttps://rdlopen.rawdatalibrary.net/r/bayburt/12970
dc.identifier.volume51
dc.identifier.wosWOS:001390241700001
dc.language.isoen
dc.publisherUniversitatea din Craiova
dc.relation.ispartofAnnals of the University of Craiova, Mathematics and Computer Science Series
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectExponential type convexity
dc.subjectexponential type P-function
dc.subjectHermite-Hadamard inequality
dc.subject.classificationMathematics
dc.subject.otherHADAMARD TYPE INEQUALITIES
dc.titleSome New Integral Inequalities for Exponential Type P-functions
dc.typeArticle
rdl.citation.openalex0
rdl.citation.scopus1
rdl.citation.wos2
rdl.oa.statusbronze
rdl.oa.urlhttp://inf.ucv.ro/~ami/index.php/ami/article/download/1745/961
rdl.scopus.quartileQ3
rdl.source.indexSCOPUS
rdl.source.indexWOS
rdl.wos.indexEmerging Sources Citation Index (ESCI)