Naslov
A new class of general refined Hardy-type inequalities with kernels

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

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

Izvornik
AIHT 2009 booklet / - Luleå, 2009, 23-24

Skup
Analysis Inequalities and Homogenization Theory (AIHT) 2009 - Midnight sun conference in honor of Prof. Lars-Erik Persson on the occasion of his 65th birthday

Mjesto i datum
Luleå, Švedska, 08.06.2009. - 11.06.2009

Vrsta sudjelovanja
Predavanje

Vrsta recenzije
Međunarodna recenzija

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

Sažetak
We state and prove a new class of refined general Hardy-type inequalities related to the weighted Lebesgue spaces L^p and L^q, convex functions and the integral operators. As special cases of our results, we obtain refinements of the classical one-dimensional Hardy's, Polya-Knopp's, Hardy--Hilbert's and related dual inequalities, as well as a generalization and refinement of the classical Godunova's inequality. Finally, we show that our results may be seen as generalizations of some recent results related to Riemann-Liouville's and Weyl's operator.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA