Naslov
Some new refined Hardy-Type inequalities with kernels

Autori
Čižmešija, Aleksandra ; Krulić, Kristina ; Pečarić, Josip

Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, sažetak, znanstveni

Izvornik
4th Croatian Mathematical Congres CroMC2008 / - Osijek : Hrvatsko matematičko društvo, 2008, 21-21

Skup
4th Croatian Mathematical Congres CroMC2008

Mjesto i datum
Osijek, Hrvatska, 17.06.2008. - 20.06.2008

Vrsta sudjelovanja
Predavanje

Vrsta recenzije
Međunarodna recenzija

Ključne riječi
Hardy inequality; Hardy-Hilbert inequality; weights; power weights; convex functions; Hardy operator; kernel

Sažetak
In this talk we state and prove a new general refined, weighted Hardy-type inequality for convex functions and integral operator. We point out that the obtained result generalizes and refines the classical one-dimensional Hardy, Polya-Knopp's, Hardy-Hilbert inequalities, related dual inequalities, as well as their multidimensional analogues for cones in R.Moreover, we show that our relations may be seen as generalizations of some new recent results related to Riemann-Liouville's operator. Finally, we obtain some new refined Hardy-type inequalities for sequence of non-negative real numbers.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA