Unified treatment of some inequalities among ratios of means
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- by Emad El-Neweihi and Frank Proschan PDF
- Proc. Amer. Math. Soc. 81 (1981), 388-390 Request permission
Abstract:
Using majorization and Schur functions, Marshall, Olkin, and Proschan obtained a result concerning monotonicity of the ratio of means. This note shows that a slight extension of their result provides a unified method for obtaining and extending inequalities between means due to Chan, Goldberg, and Gonek, as well as deriving additional inequalities of the same type.References
- F. Chan, D. Goldberg, and S. Gonek, On extensions of an inequality among means, Proc. Amer. Math. Soc. 42 (1974), 202–207 (1974). MR 338295, DOI 10.1090/S0002-9939-1974-0338295-X
- Albert W. Marshall, Ingram Olkin, and Frank Proschan, Monotonicity of ratios of means and other applications of majorization. , Inequalities (Proc. Sympos. Wright-Patterson Air Force Base, Ohio, 1965) Academic Press, New York, 1967, pp. 177–190. MR 0237727
Additional Information
- © Copyright 1981 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 81 (1981), 388-390
- MSC: Primary 26D20
- DOI: https://doi.org/10.1090/S0002-9939-1981-0597647-7
- MathSciNet review: 597647