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A new class of general refined Hardy-type inequalities with kernels (CROSBI ID 554774)

Prilog sa skupa u zborniku | sažetak izlaganja sa skupa | međunarodna recenzija

Čižmešija, Aleksandra ; Krulić, Kristina ; Pečarić, Josip A new class of general refined Hardy-type inequalities with kernels // AIHT 2009 booklet. Luleå, 2009. str. 23-24

Podaci o odgovornosti

Čižmešija, Aleksandra ; Krulić, Kristina ; Pečarić, Josip

engleski

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

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.

Hardy inequality; Hardy-Hilbert inequality; weights; power weights; convex functions; Hardy operator; kernel.

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Podaci o prilogu

23-24.

2009.

objavljeno

Podaci o matičnoj publikaciji

AIHT 2009 booklet

Luleå:

Podaci o skupu

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

predavanje

08.06.2009-11.06.2009

Luleå, Švedska

Povezanost rada

Matematika