A new version of q-Hermite-Hadamard's midpoint and trapezoid type inequalities for convex functions

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dc.authoridFe?kan, Michal/0000-0002-7385-6737en_US
dc.authorscopusid57199279462en_US
dc.authorscopusid57038541500en_US
dc.authorscopusid7004253438en_US
dc.authorscopusid57118606800en_US
dc.authorwosidBUDAK, Hüseyin/CAA-1604-2022en_US
dc.authorwosidFe?kan, Michal/T-4397-2018en_US
dc.contributor.authorAli, Muhammad Aamir
dc.contributor.authorBudak, Huseyin
dc.contributor.authorFeckan, Michal
dc.contributor.authorKhan, Sundas
dc.date.accessioned2024-08-23T16:04:01Z
dc.date.available2024-08-23T16:04:01Z
dc.date.issued2023en_US
dc.departmentDüzce Üniversitesien_US
dc.description.abstractIn this paper, we establish a new variant of q-Hermite-Hadamard inequality for convex functions via left and right q-integrals. Moreover, we prove some new q-midpoint and q-trapezoid type inequalities for left and right q-differentiable functions. To illustrate the newly established inequalities, we give some particular examples of convex functions.en_US
dc.description.sponsorshipSlovak Research and Development Agency [APVV-18-0308]; Slovak Grant Agency VEGA [1/0084/23, 2/0127/20]; National Natural Science Foundation of China [11971241]en_US
dc.description.sponsorshipMichal Feckan is partially supported by the Slovak Research and Development Agency under the contract No.APVV-18-0308 and by the Slovak Grant Agency VEGA No. 1/0084/23 and No. 2/0127/20. This work is alsopartially supported by the National Natural Science Foundation of China (No. 11971241)en_US
dc.identifier.doi10.1515/ms-2023-0029
dc.identifier.endpage386en_US
dc.identifier.issn0139-9918
dc.identifier.issn1337-2211
dc.identifier.issue2en_US
dc.identifier.scopus2-s2.0-85151819427en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.startpage369en_US
dc.identifier.urihttps://doi.org/10.1515/ms-2023-0029
dc.identifier.urihttps://hdl.handle.net/20.500.12684/14012
dc.identifier.volume73en_US
dc.identifier.wosWOS:000960209800001en_US
dc.identifier.wosqualityQ2en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherWalter De Gruyter Gmbhen_US
dc.relation.ispartofMathematica Slovacaen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectHermite-Hadamard inequalityen_US
dc.subjectmidpoint inequalitiesen_US
dc.subjecttrapezoid inequalitiesen_US
dc.subjectconvex functionsen_US
dc.subjectDifferentiable Mappingsen_US
dc.subjectReal Numbersen_US
dc.subjectQuantumen_US
dc.titleA new version of q-Hermite-Hadamard's midpoint and trapezoid type inequalities for convex functionsen_US
dc.typeArticleen_US

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