Pregled bibliografske jedinice broj: 1046707
Multidimensional Hilbert-type inequalities obtained via local fractional calculus
Multidimensional Hilbert-type inequalities obtained via local fractional calculus // Acta applicandae mathematicae, 169 (2020), 1; 667-680 doi:10.1007/s10440-020-00317-x (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 1046707 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Multidimensional Hilbert-type inequalities obtained via local fractional calculus
Autori
Krnić, Mario ; Vuković, Predrag
Izvornik
Acta applicandae mathematicae (0167-8019) 169
(2020), 1;
667-680
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Hilbert inequality, conjugate parameters, homogeneous function, local fractional calculus, multidimensional form
Sažetak
In this paper we give a unified treatment of multidimensional fractal Hilbert-type inequalities. More precisely, we establish a Hilbert-type inequality with a general local fractional continuous kernel and weight functions. A particular emphasis is dedicated to a class of inequalities with a homogeneous kernel. Namely, we impose some weak conditions for which the constants appearing on the right-hand sides of such Hilbert-type inequalities are the best possible. As an application, we discuss some particular choices of homogeneous kernels and power weight functions.
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
