Pregled bibliografske jedinice broj: 266407
On reverse integral mean inequalites
On reverse integral mean inequalites // Houston Journal of Mathematics, 32 (2006), 1; 167-181 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 266407 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
On reverse integral mean inequalites
Autori
Mond, Bertram ; Pečarić, Josip ; Perić, Ivan
Izvornik
Houston Journal of Mathematics (0362-1588) 32
(2006), 1;
167-181
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
wieghted power means; reverse integral mean inequalities; Hardy's inequality; monotonous in mean functions
Sažetak
If f is a positive integrable function, then it is well-known that for even numbers p and q, q<=p, the ratio of the p-power integral mean of f by the q-power integral mean is greater than or equal to 1. Different authors have given reverse inequalites for this ratio. Here we present various upper bounds for this ratio for a wider class of weighted power means and functions. These results are extensions of results of Muckenhoupt, Nania and Alzer.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Ustanove:
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb,
Tekstilno-tehnološki fakultet, 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
Uključenost u ostale bibliografske baze podataka::
- Mathematical Reviews
