| 关于平均值不等式的加强 |
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| 引用本文： | 王挽澜. 关于平均值不等式的加强[J]. 成都大学学报(自然科学版), 1994, 13(2): 1-3 |
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| 作者姓名： | 王挽澜 |
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| 作者单位： | 成都大学数理系 |
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| 摘 要： | 对文［１］提出的平均值不等式（１）这里α＝（１—１／ｎ）ｒ－１,１≤ｒ≤ｎ,用Ｓｃｈｕｒ─凸性理论证明对于α＝（ｒ２－ｒ十１）／ｒ２,ｒ≥１时（１）及其对应的积分不等式都成立。
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| 关 键 词： | 平均值 Schur─凸函数 不等式 |
The Sharpening of Mean-value Inequality |
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| Wang Wanlan. The Sharpening of Mean-value Inequality[J]. Journal of Chengdu University (Natural Science), 1994, 13(2): 1-3 |
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| Authors: | Wang Wanlan |
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| Affiliation: | Wang Wanlan |
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| Abstract: | In this poper,the following results are proved by means of the theory of mojorhation.Propeitionl Let x , and α= (r2-r+1 )/r2,Then There is sttict inequality unless The analogous continuotis veraion also holds(see the inequality(4) in Propedon 2).Another unpubliShed and inter￣g problem posed by Chen Ji is the following:"Can we find a least value a such that the inequality(1) holds? |
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| Keywords: | mean value Schur-convex function inequality |
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