Pregled bibliografske jedinice broj: 605534
A strengthened form of a general Hardy-type inequality obtained via superquadraticity and its applications
A strengthened form of a general Hardy-type inequality obtained via superquadraticity and its applications // International journal of pure and applied mathematics, 86 (2013), 2; 257-282 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 605534 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
A strengthened form of a general Hardy-type inequality obtained via superquadraticity and its applications
Autori
Čižmešija, Aleksandra ; Krnić, Mario
Izvornik
International journal of pure and applied mathematics (1311-8080) 86
(2013), 2;
257-282
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Hardy inequality; Hardy-Hilbert inequality; Hardy-type inequalities; Hardy-Hilbert-type inequalities; non-conjugate exponents; superquadratic function
Sažetak
In this paper, we establish a new re ned version of the general Hardy-type inequality utilizing the notion of superquadratic functions. The general result obtained is then applied to some particular one-dimensional and multidimensional settings providing generalizations and re nements of some well-known Hardy-type inequalities. Finally, as another consequence of the main result, we also state and prove a class of improved versions of some Hardy-Hilbert-type inequalities.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
036-1170889-1054 - Ocjene suma, integrala i integralnih transformacija (Elezović, Neven, MZO ) ( CroRIS)
058-1170889-1050 - Ocjene za funkcionale na prostorima funkcija (Perić, Ivan, MZOS ) ( CroRIS)
Ustanove:
Fakultet elektrotehnike i računarstva, Zagreb,
Prehrambeno-biotehnološki fakultet, Zagreb
Citiraj ovu publikaciju:
Časopis indeksira:
- Scopus
