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Some New Inequalities Involving Elementary Mean Values

✍ Scribed by A.McD. Mercer

Publisher: Elsevier Science
Year: 1999
Tongue: English
Weight: 49 KB
Volume: 229
Category: Article
ISSN: 0022-247X
DOI: 10.1006/jmaa.1998.6166

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✦ Synopsis

A formula is derived from which one can obtain a family of two-sided inequali-Ž n r . 1r r ties involving the elementary mean values Ý w x

. In particular, one member

of this family provides a new refinement of the arithmetic mean-geometric mean inequality.

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