Some Hardy-type integral inequalities involving functions of two independent variables

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dc.authoridSARIKAYA, Mehmet Zeki/0000-0002-6165-9242
dc.authoridBenaissa, Bouharket/0000-0002-1195-6169
dc.authorwosidSARIKAYA, Mehmet Zeki/ABI-5543-2020
dc.authorwosidBenaissa, Bouharket/AAG-1181-2021
dc.contributor.authorBenaissa, Bouharket
dc.contributor.authorSarikaya, Mehmet Zeki
dc.date.accessioned2021-12-01T18:48:54Z
dc.date.available2021-12-01T18:48:54Z
dc.date.issued2021
dc.department[Belirlenecek]en_US
dc.description.abstractIn this paper, we give some new generalizations to the Hardy-type integral inequalities for functions of two variables by using weighted mean operatorsS(1) := S1(w) f and S-2 := S-2(w) f defined by S-1(x, y) = 1/W(x)W(y) integral(x)(x/2) integral(y)(y/2) w(t)w(s) f (t, s)dsdt, and S-2(x, y) = integral(x)(x/2) integral(y)(y/2) w(t)w(s)/W(t)W(s) f (t, s)dsdt, with W (z) = integral(z)(0) w(r)dr f or z is an element of (0,+infinity), where w is a weight function.en_US
dc.description.sponsorshipDG-RSDT-Algeriaen_US
dc.description.sponsorshipThe authors would like to thank very much the referees for their important remarks and comments which allow us to correct and improve this paper, they wish to thank the support of DG-RSDT-Algeria. Part of the work was carried out while the first author have visited at University of Duzca Turkey, the hospitality of Duzca University is graciously acknowledged.en_US
dc.identifier.doi10.1007/s11117-020-00791-5
dc.identifier.endpage866en_US
dc.identifier.issn1385-1292
dc.identifier.issn1572-9281
dc.identifier.issue3en_US
dc.identifier.scopus2-s2.0-85092630187en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.startpage853en_US
dc.identifier.urihttps://doi.org/10.1007/s11117-020-00791-5
dc.identifier.urihttps://hdl.handle.net/20.500.12684/10627
dc.identifier.volume25en_US
dc.identifier.wosWOS:000578945600001en_US
dc.identifier.wosqualityQ2en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherSpringeren_US
dc.relation.ispartofPositivityen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectHolder's inequalityen_US
dc.subjectFubini theoremen_US
dc.subjectweight functionen_US
dc.subjectWeighted Inequalitiesen_US
dc.subjectOperatorsen_US
dc.titleSome Hardy-type integral inequalities involving functions of two independent variablesen_US
dc.typeArticleen_US

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