Pregled bibliografske jedinice broj: 632582
On more accurate Hilbert-type inequalities in finite measure spaces
On more accurate Hilbert-type inequalities in finite measure spaces // Collectanea mathematica, 65 (2014), 1; 143-154 doi:10.1007/s13348-013-0088-1 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 632582 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
On more accurate Hilbert-type inequalities in finite measure spaces
Autori
Krnić, Mario ; Pečarić, Josip
Izvornik
Collectanea mathematica (0010-0757) 65
(2014), 1;
143-154
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Hilbert inequality; Hilbert-type inequalities; Holder inequality; refinement; converse; homogeneous function; incomplete Beta function
Sažetak
In this paper we establish several more precise versions of a general Hilbert-type inequality regarding finite measure spaces. These inequalities are derived by virtue of some new improved versions of the Holder inequality, known from the literature. The main results are then applied to some particular settings with a special emphasis to homogeneous kernels and power weight functions.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
036-1170889-1054 - Ocjene suma, integrala i integralnih transformacija (Elezović, Neven, MZO ) ( CroRIS)
117-1170889-0888 - Generalne nejednakosti i primjene (Pečarić, Josip, MZOS ) ( CroRIS)
Ustanove:
Fakultet elektrotehnike i računarstva, Zagreb,
Tekstilno-tehnološki 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
