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Inequalities for compound means with logarithmic asymptotes

Borwein, Jonathan M. and Borwein, Peter (1993) Inequalities for compound means with logarithmic asymptotes. Journal of Mathematical Analysis and Applications., 177 . pp. 572-582. ISSN 0022-247X

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Abstract

We consider the compound means arising as limits from the arithmetic-geometric mean iteration and related iterations. Each of these iterations possesses a logarithmic asymptote. We show that these limit means satisfy very precise inequalities. These can be deduced in a quite uniform fashion from a "comparison lemma" for compound means.

Item Type: Article
Subjects: UNSPECIFIED
Faculty: UNSPECIFIED
Depositing User: Mrs Naghmana Tehseen
Date Deposited: 14 Jan 2015 15:19
Last Modified: 14 Jan 2015 15:19
URI: https://docserver.carma.newcastle.edu.au/id/eprint/1553

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