A refinement of the arithmetic mean-geometric mean inequality-Reference-Cited by-同舟云学术

A refinement of the arithmetic mean-geometric mean inequality

Published:1978 Issue:1 Volume:71 Page:36-38
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Cartwright D. I.,Field M. J.

Abstract

Upper and lower bounds are given for the difference between the arithmetic and geometric means of n positive real numbers in terms of the variance of these numbers.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1978-071-01/S0002-9939-1978-0476971-2/S0002-9939-1978-0476971-2.pdf

Reference5 articles.

1. A generalization of the arithmetic-geometric means inequality;Fink, A. M.;Proc. Amer. Math. Soc.,1976

2. Die Grundlehren der mathematischen Wissenschaften, Band 165;Mitrinović, D. S.,1970

3. On lower and upper bounds of the difference between the arithmetic and the geometric mean;Tung, S. H.;Math. Comp.,1975

4. K. S. Williams, Problem 247, Eureka 3 (1977), 131.

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