4.5 Article

On Gauss compounding of symmetric weighted arithmetic means

Journal

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
Volume 322, Issue 2, Pages 729-734

Publisher

ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jmaa.2005.09.069

Keywords

compounding of means; Gauss compounding; weighted arithmetic mean; iteration of means

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In this research, we investigate Gauss compounding of time-variant (nonautonomous) symmetric weighted arithmetic means. We establish the existence of the compounded mean under an easy-to-apply criterion. Also, we investigate the properties that are enjoyed by the compounded mean. (c) 2005 Elsevier Inc. All rights reserved.

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