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

We present a class of higher-dimensional Hilbert-type inequalities on a fractal set $(\mathbb{; ; ; 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.