A class of fractal Hilbert-type inequalities obtained via Cantor-type spherical coordinates
dc.contributor.author | Baleanu, Dumitru | |
dc.contributor.author | Krnic, Mario | |
dc.contributor.author | Vukovic, Predrag | |
dc.contributor.authorID | 56389 | tr_TR |
dc.date.accessioned | 2022-02-11T11:51:30Z | |
dc.date.available | 2022-02-11T11:51:30Z | |
dc.date.issued | 2021 | |
dc.department | Çankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümü | en_US |
dc.description.abstract | We 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. | en_US |
dc.description.publishedMonth | 5 | |
dc.identifier.citation | Baleanu, 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. | en_US |
dc.identifier.doi | 10.1002/mma.7180 | |
dc.identifier.endpage | 6208 | en_US |
dc.identifier.issn | 0170-4214 | |
dc.identifier.issue | 7 | en_US |
dc.identifier.startpage | 6195 | en_US |
dc.identifier.uri | https://hdl.handle.net/20.500.12416/5005 | |
dc.identifier.volume | 44 | en_US |
dc.language.iso | en | en_US |
dc.relation.ispartof | Mathematical Methods in the Applied Sciences | en_US |
dc.rights | info:eu-repo/semantics/openAccess | en_US |
dc.subject | Cantor | en_US |
dc.subject | Type Spherical Coordinates | en_US |
dc.subject | Fractal Set | en_US |
dc.subject | Local Fractional Integral | en_US |
dc.subject | The Best Possible Constant | en_US |
dc.subject | The Hilbert Inequality | en_US |
dc.title | A class of fractal Hilbert-type inequalities obtained via Cantor-type spherical coordinates | tr_TR |
dc.title | A Class of Fractal Hilbert-Type Inequalities Obtained Via Cantor-Type Spherical Coordinates | en_US |
dc.type | Article | en_US |
dspace.entity.type | Publication | |
relation.isAuthorOfPublication | f4fffe56-21da-4879-94f9-c55e12e4ff62 | |
relation.isAuthorOfPublication.latestForDiscovery | f4fffe56-21da-4879-94f9-c55e12e4ff62 |