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

Baleanu, Dumitru; Krnic, Mario; Vukovic, Predrag

dc.contributor.author	Baleanu, Dumitru
dc.contributor.author	Krnic, Mario
dc.contributor.author	Vukovic, Predrag
dc.date.accessioned	2022-02-11T11:51:30Z
dc.date.available	2022-02-11T11:51:30Z
dc.date.issued	2021-05-15
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.	tr_TR
dc.identifier.issn	0170-4214
dc.identifier.uri	http://hdl.handle.net/20.500.12416/5005
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.	tr_TR
dc.language.iso	eng	tr_TR
dc.relation.isversionof	10.1002/mma.7180	tr_TR
dc.rights	info:eu-repo/semantics/openAccess	tr_TR
dc.subject	Cantor	tr_TR
dc.subject	Type Spherical Coordinates	tr_TR
dc.subject	Fractal Set	tr_TR
dc.subject	Local Fractional Integral	tr_TR
dc.subject	The Best Possible Constant	tr_TR
dc.subject	The Hilbert Inequality	tr_TR
dc.title	A class of fractal Hilbert-type inequalities obtained via Cantor-type spherical coordinates	tr_TR
dc.type	article	tr_TR
dc.relation.journal	Mathematical Methods in the Applied Sciences	tr_TR
dc.contributor.authorID	56389	tr_TR
dc.identifier.volume	44	tr_TR
dc.identifier.issue	7	tr_TR
dc.identifier.startpage	6195	tr_TR
dc.identifier.endpage	6208	tr_TR
dc.contributor.department	Çankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümü	tr_TR