On a new class of Hardy-type inequalities (CROSBI ID 190810)
Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija
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
nije evidentirano
nije evidentirano
nije evidentirano
nije evidentirano
nije evidentirano
nije evidentirano
Podaci o izdanju
2012
2012.
259-1-259-19
objavljeno
1025-5834
1029-242X
10.1186/1029-242X-2012-259