Pregled bibliografske jedinice broj: 348420
Some new refinements of strengthened Hardy and Polya-Knopp's inequalities
Some new refinements of strengthened Hardy and Polya-Knopp's inequalities // Journal of function spaces and applications, 2 (2009), 7; 167-186 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 348420 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Some new refinements of strengthened Hardy and Polya-Knopp's inequalities
Autori
Čižmešija, Aleksandra ; Hussain, Sabir ; Pečarić, Josip
Izvornik
Journal of function spaces and applications (0972-6802) 2
(2009), 7;
167-186
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Integral inequalities ; Boas's inequality ; Hardy-Littlewood average ; Hardy's inequality ; Polya-Knopp's inequality ; weights ; power weights ; convex functions
Sažetak
We prove a new general one-dimensional inequality for convex functions and Hardy-Littlewood averages. Furthermore, we apply this result to unify and refine the so-called Boas's inequality and the strengthened inequalities of the Hardy-nopp-type, deriving their new refinements as special cases of the obtained general relation. In particular, we get new refinements of strengthened versions of the well-known Hardy and Polya-Knopp's inequalities.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
058-1170889-1050 - Ocjene za funkcionale na prostorima funkcija (Perić, Ivan, MZOS ) ( CroRIS)
117-1170889-0888 - Generalne nejednakosti i primjene (Pečarić, Josip, MZOS ) ( CroRIS)
Ustanove:
Prehrambeno-biotehnološki fakultet, Zagreb,
Tekstilno-tehnološki fakultet, Zagreb
Citiraj ovu publikaciju:
Časopis indeksira:
- Current Contents Connect (CCC)
- Web of Science Core Collection (WoSCC)
- SCI-EXP, SSCI i/ili A&HCI
- Scopus
Uključenost u ostale bibliografske baze podataka::
- MathSciNet
