Pregled bibliografske jedinice broj: 175359
General Hilbert's and Hardy's inequalities
General Hilbert's and Hardy's inequalities // Mathematical inequalities & applications, 8 (2005), 1; 29-51 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 175359 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
General Hilbert's and Hardy's inequalities
Autori
Krnić, Mario ; Pečarić, Josip
Izvornik
Mathematical inequalities & applications (1331-4343) 8
(2005), 1;
29-51
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
inequalities; Hilbert's inequality; Hardy's inequality; Holders's inequality; homogeneous function; kernel; reverse inequality; homogeneous function; kernel; reverse inequality; equivalent inequalities.
Sažetak
In this paper we make some further generalizations of well known Hilbert's inequality and its equivalent form in two dimensional case. We also derive some results on Hardy's inequality. Then we apply our general results to homogeneous functions. A reverses of Hilbert's inequality are also given in integral case. Many other results of this type in recent years, follows as a special case of our results.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
0037117
Ustanove:
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb
Citiraj ovu publikaciju:
Časopis indeksira:
- Web of Science Core Collection (WoSCC)
- Science Citation Index Expanded (SCI-EXP)
- SCI-EXP, SSCI i/ili A&HCI
- Scopus
