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On a new class of Hardy-type inequalities (CROSBI ID 190810)

Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija

Adeleke, E. O. ; Čižmešija, Aleksandra ; Oguntuase, Jamea A. ; Persson, Lars-Erik ; Pokaz, Dora On a new class of Hardy-type inequalities // Journal of inequalities and applications, 2012 (2012), 259-1-259-19. doi: 10.1186/1029-242X-2012-259

Podaci o odgovornosti

Adeleke, E. O. ; Čižmešija, Aleksandra ; Oguntuase, Jamea A. ; Persson, Lars-Erik ; Pokaz, Dora

engleski

On a new class of Hardy-type inequalities

In this paper, we generalize a Hardy-type inequality to the class of arbitrary non-negative functions bounded from below and above with a convex function multiplied with positive real constants. This enables us to obtain new generalizations of the classical integral Hardy's, Hardy-Hilbert's, Hardy-Littlewood-Polya's and Polya-Knopp's inequalities as well as of Godunova's and of some recently obtained inequalities in multidimensional settings. Finally, we apply a similar idea to functions bounded from below and above with a superquadratic function.

Hardy inequality; power weights; convex functions; superquadratic functions

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Podaci o izdanju

2012

2012.

259-1-259-19

objavljeno

1025-5834

1029-242X

10.1186/1029-242X-2012-259

Povezanost rada

Matematika

Poveznice
Indeksiranost