- Title
- Inequalities for compound mean iterations with logarithmic asymptotes
- Creator
- Borwein, Jonathan M.; Borwein, Peter B.
- Relation
- Journal of Mathematical Analysis and Applications Vol. 177, Issue 2, p. 572-582
- Publisher Link
- http://dx.doi.org/10.1006/jmaa.1993.1278
- Publisher
- Academic Press
- Resource Type
- journal article
- Date
- 1993
- Description
- 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.
- Subject
- compound means; iterations; inequalities
- Identifier
- http://hdl.handle.net/1959.13/940877
- Identifier
- uon:13119
- Identifier
- ISSN:0022-247X
- Language
- eng
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