Baleanu, DumitruKrnic, MarioVukovic, Predrag2022-02-112022-02-112021-05-15Baleanu, 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. 6195-6208.0170-4214http://hdl.handle.net/20.500.12416/5005We 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.enginfo:eu-repo/semantics/openAccessCantorType Spherical CoordinatesFractal SetLocal Fractional IntegralThe Best Possible ConstantThe Hilbert Inequalityarticle44761956208