Naslov
Multivariable mixed means and inequalities of Hardy and Levin-Cochran-Lee type

Autori
Čižmešija, Aleksandra ; Pečarić, Josip

Izvornik
Mathematical Inequalities & Applications (1331-4343) 5 (2002), 3; 397-415

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

Ključne riječi
mixed mean; mixed-means inequality; Hardy inequality; Levin-Cochran-Lee inequality

Sažetak
We consider integral power means of arbitrary real order, taken over cells in R^n, and their dual means. We establish related mixed-means inequalities and then apply obtained results to derive multivariable analogues and some new generalizations of Hardy and Levin-Cochran-Lee type inequalities. Moreover, we prove the constant factors involved in the right-hand sides of these relations to be the best possible, that is, they cannot be replaced with a smaller constant.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA