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Mathematics of Computation

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Some inequalities for elementary mean values


Author: Burnett Meyer
Journal: Math. Comp. 42 (1984), 193-194
MSC: Primary 26D20; Secondary 26D15
MathSciNet review: 725994
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Abstract: Upper and lower bounds for the difference between the arithmetic and harmonic means of n positive numbers are obtained in terms of n and the largest and smallest of the numbers. Also, results of S. H. Tung [2], are used to obtain upper and lower bounds for the elementary mean values $ {M_p}$ of Hardy, Littlewood, and Pólya.


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DOI: https://doi.org/10.1090/S0025-5718-1984-0725994-5
Article copyright: © Copyright 1984 American Mathematical Society