This article is cited in 2 papers

Inequalities for symmetric means

G. A. Bekishev

Institute of Mathematics of the Siberian Division of the USSR Academy of Sciences

Abstract: A study is made of a symmetric form of the $m$-th degree and the class of symmetric means (arithmetic) associated with it, the simplest of these being the Muirhead means. A number of new theorems on comparability, related to Muirhead's Theorem, are proven.

UDC: 517.5

Received: 14.08.1967

 English version: Mathematical Notes, 1968, 3:2, 83–91

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