Means of Power Type and Their Inequalities

✍ Scribed by Dag Lukkassen

• Publisher: John Wiley and Sons
• Year: 2010
• Tongue: English
• Weight: 636 KB
• Volume: 205
• Category: Article
• ISSN: 0025-584X
• DOI: 10.1002/mana.3212050107

✦ Synopsis

Abrtract. We prove some general resutts on means of power type and their inequalities. Partic- UIUly, we study a new mean and compare this mean with the classical power means. Some results Wnnected to compositions of power means are also presented. Our results are applied to some inqualities in the homogenization theory.

PERSSON [12].

1991 Mathematics Subject Classification. 35635, 35520. Keywonfs and phmses. Means, power means, compositions, inequalities, homogenization theory.