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Several integral inequalities for (α, s, m) -convex functions

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dc.contributor.authorButt, Saad I.
dc.contributor.authorNasir, Jamshed
dc.contributor.buuauthorÖzdemir, M. Emin
dc.contributor.buuauthorBayraktar, Bahtiyar
dc.contributor.departmentEğitim Fakültesi
dc.contributor.departmentMatematik ve Fen Bilimleri Eğitimi Bölümü
dc.contributor.orcid0000-0001-7594-8291
dc.contributor.researcheridAAH-1091-2021
dc.contributor.researcheridABI-7823-2020
dc.contributor.scopusid22734889600
dc.contributor.scopusid55320522100
dc.date.accessioned2023-10-18T08:47:24Z
dc.date.available2023-10-18T08:47:24Z
dc.date.issued2020
dc.description.abstractIn this paper, we establish several new integral inequalities for (alpha, s, m)-convex functions. We recapture the Hermite-Hadamard inequality as a particular case. In order to obtain our results, we use classical inequalities such as Holder inequality, Holder-Iscan inequality and Power mean inequality. We formulate several bounds involving special functions like classical Euler-Gamma, Beta and Psi-Gamma functions. We also give some applications.
dc.identifier.citationÖzdemir, M. E. vd. (2020). "Several integral inequalities for (α, s, m) -convex functions". AIMS Mathematics, 5(4), 3906-3921.
dc.identifier.endpage3921
dc.identifier.issn2473-6988
dc.identifier.issue4
dc.identifier.scopus2-s2.0-85087943345
dc.identifier.startpage3906
dc.identifier.urihttps://doi.org/10.3934/math.2020253
dc.identifier.urihttps://www.aimspress.com/article/doi/10.3934/math.2020253?viewType=HTML
dc.identifier.urihttp://hdl.handle.net/11452/34421
dc.identifier.volume5
dc.identifier.wos000532484000073
dc.indexed.wosSCIE
dc.language.isoen
dc.publisherAmerican Institute of Mathematical Sciences
dc.relation.collaborationYurt dışı
dc.relation.journalAIMS Mathematics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectMathematics
dc.subjectConvex function
dc.subject(Alpha, s, m)-convex function
dc.subjectHermite-hadamard inequality
dc.subjectRiemann-liouville fractional integrals
dc.subjectHolder's inequality
dc.subjectPower mean inequality
dc.subjectPsi-gamma functions
dc.subjectHermite-hadamard-typem)-convex
dc.subject(Alpha
dc.subject(S
dc.subject.scopusOstrowski type inequality; Convex function; Fractional integral
dc.subject.wosMathematics, applied
dc.subject.wosMathematics
dc.titleSeveral integral inequalities for (α, s, m) -convex functions
dc.typeArticle
dspace.entity.typePublication
local.contributor.departmentEğitim Fakültesi/Matematik ve Fen Bilimleri Eğitimi Bölümü
local.indexed.atScopus
local.indexed.atWOS

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