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Some new refinements of strengthened Hardy and Polya-Knopp's inequalities (CROSBI ID 141491)

Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija

Čižmešija, Aleksandra ; Hussain, Sabir ; Pečarić, Josip Some new refinements of strengthened Hardy and Polya-Knopp's inequalities // Journal of function spaces and applications, 2 (2009), 7; 167-186

Podaci o odgovornosti

Čižmešija, Aleksandra ; Hussain, Sabir ; Pečarić, Josip

engleski

Some new refinements of strengthened Hardy and Polya-Knopp's inequalities

We prove a new general one-dimensional inequality for convex functions and Hardy-Littlewood averages. Furthermore, we apply this result to unify and refine the so-called Boas's inequality and the strengthened inequalities of the Hardy-nopp-type, deriving their new refinements as special cases of the obtained general relation. In particular, we get new refinements of strengthened versions of the well-known Hardy and Polya-Knopp's inequalities.

Integral inequalities ; Boas's inequality ; Hardy-Littlewood average ; Hardy's inequality ; Polya-Knopp's inequality ; weights ; power weights ; convex functions

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Podaci o izdanju

2 (7)

2009.

167-186

objavljeno

0972-6802

Povezanost rada

Matematika

Indeksiranost