Naslov
On strengthened Hardy and Polya-Knopp's inequalities

Autori
Čižmešija, Aleksandra ; Pečarić, Josip ; Persson, Lars-Erik

Izvornik
Journal of Approximation Theory (0021-9045) 125 (2003); 74-84

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
inequalities; weights; Hardy's inequality; Polya-Knopp's inequality; Levin-Cochran-Lee's inequality; reversed Polya-Knopp type inequality

Sažetak
In this paper we prove a strengthened general inequality of the Hardy-Knopp type and also derive its dual inequality. Furthermore, we apply the obtained results to unify the strengthened classical Hardy and Polya-Knopp's inequalities deriving them as special cases of the obtained general relations. We discuss Polya-Knopp's inequality, compare it with Levin-Cochran-Lee's inequalities and point out that these results are mutually equivalent. Finally, we also point out a reversed Polya-Knopp type inequality.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA