Pregled bibliografske jedinice broj: 500776
Discrete Hilbert-type inequalities with general homogeneous kernels
Discrete Hilbert-type inequalities with general homogeneous kernels // Rendiconti del Circolo Matematico di Palermo, 60 (2011), 1-2; 161-171 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 500776 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Discrete Hilbert-type inequalities with general homogeneous kernels
Autori
Krnić, Mario ; Pečarić, Josip ; Vuković, Predrag
Izvornik
Rendiconti del Circolo Matematico di Palermo (0009-725X) 60
(2011), 1-2;
161-171
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Hilbert-type inequality; Hardy-Hilbert type inequality; homogeneous kernel; the best possible constant; conjugate exponents; Beta function
Sažetak
The main objective of this paper is an unified treatment of discrete Hilbert-type inequalities with homogeneous kernels. At the beginning, we prove and discuss two equivalent general inequalities of such type. Further, we analyze the conditions which yield the best possible constant factors in obtained inequalities. The obtained results are then applied to various settings considering homogeneous functions of a negative real degree. In such a way, we obtain the generalizations of numerous results, previously known from the literature.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
036-170889-1054
117-1170889-0888 - Generalne nejednakosti i primjene (Pečarić, Josip, MZOS ) ( CroRIS)
058-1170889-1050 - Ocjene za funkcionale na prostorima funkcija (Perić, Ivan, MZOS ) ( CroRIS)
Ustanove:
Fakultet elektrotehnike i računarstva, Zagreb,
Tekstilno-tehnološki fakultet, Zagreb,
Učiteljski fakultet, Zagreb
Citiraj ovu publikaciju:
Časopis indeksira:
- Web of Science Core Collection (WoSCC)
- Emerging Sources Citation Index (ESCI)
- Scopus
