Some inequalities for elementary mean values
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- by Burnett Meyer PDF
- Math. Comp. 42 (1984), 193-194 Request permission
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.References
- G. H. Hardy, J. E. Littlewood, and G. Pólya, Inequalities, Cambridge, at the University Press, 1952. 2d ed. MR 0046395
- S. H. Tung, On lower and upper bounds of the difference between the arithmetic and the geometric mean, Math. Comp. 29 (1975), 834–836. MR 393393, DOI 10.1090/S0025-5718-1975-0393393-9
Additional Information
- © Copyright 1984 American Mathematical Society
- Journal: Math. Comp. 42 (1984), 193-194
- MSC: Primary 26D20; Secondary 26D15
- DOI: https://doi.org/10.1090/S0025-5718-1984-0725994-5
- MathSciNet review: 725994