A class of fractal Hilbert-type inequalities obtained via Cantor-type spherical coordinates (CROSBI ID 287530)
Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija
Podaci o odgovornosti
Baleanu, Dumitru ; Krnić, Mario ; Vuković, Predrag
engleski
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.
the Hilbert inequality, fractal set, local fractional integral, Cantor-type spherical coordinates, the best possible constant
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Podaci o izdanju
44 (7)
2021.
6195-6208
objavljeno
0170-4214
1099-1476
https://doi.org/10.1002/mma.7180