Pregled bibliografske jedinice broj: 1099555
A class of fractal Hilbert-type inequalities obtained via Cantor-type spherical coordinates
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://.org/10.1002/mma.7180 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 1099555 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
A class of fractal Hilbert-type inequalities obtained via Cantor-type spherical coordinates
Autori
Baleanu, Dumitru ; Krnić, Mario ; Vuković, Predrag
Izvornik
Mathematical methods in the applied sciences (0170-4214) 44
(2021), 7;
6195-6208
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
the Hilbert inequality, fractal set, local fractional integral, Cantor-type spherical coordinates, the best possible constant
Sažetak
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.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Ustanove:
Fakultet elektrotehnike i računarstva, Zagreb,
Učiteljski fakultet, Zagreb
Citiraj ovu publikaciju:
Časopis indeksira:
- Current Contents Connect (CCC)
- Web of Science Core Collection (WoSCC)
- Science Citation Index Expanded (SCI-EXP)
- SCI-EXP, SSCI i/ili A&HCI
- Scopus
