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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

A refinement of the arithmetic mean-geometric mean inequality


Authors: D. I. Cartwright and M. J. Field
Journal: Proc. Amer. Math. Soc. 71 (1978), 36-38
MSC: Primary 26A87
DOI: https://doi.org/10.1090/S0002-9939-1978-0476971-2
MathSciNet review: 0476971
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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.


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DOI: https://doi.org/10.1090/S0002-9939-1978-0476971-2
Keywords: Arithmetic mean-geometric mean inequality
Article copyright: © Copyright 1978 American Mathematical Society