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Means of Power Type and Their Inequalities
Author(s) -
Lukkassen Dag
Publication year - 1999
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.3212050107
Subject(s) - mathematics , inequality , homogenization (climate) , type (biology) , power (physics) , calculus (dental) , mathematical analysis , pure mathematics , medicine , biodiversity , ecology , physics , dentistry , quantum mechanics , biology
We prove some general results on means of power type and their inequalities. Particularly, we study a new mean and compare this mean with the classical power means. Some results connected to compositions of power means are also presented. Our results are applied to some inequalities in the homogenization theory.