A class of fractal Hilbert-type inequalities obtained via Cantor-type spherical coordinates

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dc.contributor.authorBaleanu, Dumitru
dc.contributor.authorKrnic, Mario
dc.contributor.authorVukovic, Predrag
dc.contributor.authorID56389tr_TR
dc.contributor.departmentÇankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümütr_TR
dc.date.accessioned2022-02-11T11:51:30Z
dc.date.available2022-02-11T11:51:30Z
dc.date.issued2021-05-15
dc.description.abstractWe present a class of higher dimensional Hilbert-type inequalities on a fractal set (Double-struck capital R+alpha n)k. The crucial step in establishing our results are higher dimensional spherical coordinates on a fractal space. Further, we impose the corresponding conditions under which the constants appearing in the established Hilbert-type inequalities are the best possible. As an application, our results are compared with the previous results known from the literature.tr_TR
dc.identifier.citationBaleanu, Dumitru; Krnic, Mario; Vukovic, Predrag (2021). "A class of fractal Hilbert-type inequalities obtained via Cantor-type spherical coordinates", Mathematical Methods in the Applied Sciences, Vol. 44, No. 7, pp. 6195-6208.tr_TR
dc.identifier.endpage6208tr_TR
dc.identifier.issn0170-4214
dc.identifier.issue7tr_TR
dc.identifier.startpage6195tr_TR
dc.identifier.urihttp://hdl.handle.net/20.500.12416/5005
dc.identifier.volume44tr_TR
dc.language.isoengtr_TR
dc.relation.isversionof10.1002/mma.7180tr_TR
dc.relation.journalMathematical Methods in the Applied Sciencestr_TR
dc.rightsinfo:eu-repo/semantics/openAccesstr_TR
dc.subjectCantortr_TR
dc.subjectType Spherical Coordinatestr_TR
dc.subjectFractal Settr_TR
dc.subjectLocal Fractional Integraltr_TR
dc.subjectThe Best Possible Constanttr_TR
dc.subjectThe Hilbert Inequalitytr_TR
dc.titleA class of fractal Hilbert-type inequalities obtained via Cantor-type spherical coordinatestr_TR
dc.typearticletr_TR

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