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A class of fractal Hilbert-type inequalities obtained via Cantor-type spherical coordinates (CROSBI ID 287530)

Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija

Baleanu, Dumitru ; Krnić, Mario ; Vuković, Predrag A class of fractal Hilbert-type inequalities obtained via Cantor-type spherical coordinates // Mathematical methods in the applied sciences, 44 (2021), 7; 6195-6208. doi: https://doi.org/10.1002/mma.7180

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

Povezanost rada

Matematika

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