| Sharp power mean bounds for Sei?ert mean简 |
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| 作者姓名： | LI Yong-min WANG Miao-kun CHU Yu-ming |
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| 基金项目： | Supported by the National Natural Science Foundation of China （61174076, 61374086, 11171307） and the Natural Science Foundation of Zhejiang Province （LY13A010004）. |
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| 摘 要： | In this paper,we find the greatest value p = log2/(log π. log 2) = 1.53 ··· and the least value q = 5/3 = 1.66 ··· such that the double inequality Mp(a,b) T(a,b) Mq(a,b) holds for all a,b 0 with a = b. Here,Mp(a,b) and T(a,b) are the p-th power and Seiffert means of two positive numbers a and b,respectively.
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| 关 键 词： | 均值 夏普 日志 熔点 正数 |
Sharp power mean bounds for Seiffert mean |
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| LI Yong-min WANG Miao-kun CHU Yu-ming.Sharp power mean bounds for Seiffert mean[J].Applied Mathematics A Journal of Chinese Universities,2014,29(1):101-107. |
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| Authors: | Yong-min Li Miao-kun Wang Yu-ming Chu |
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| Institution: | 1. School of Mathematics and Computation Science, Hunan City University, Yiyang, 413000, China
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| Abstract: | In this paper, we find the greatest value p = log2/(log π ? log 2) = 1.53 … and the least value q = 5/3 = 1.66 … such that the double inequality M p (a, b) < T(a, b) < M q (a, b) holds for all a, b > 0 with a ≠ b. Here, M p (a, b) and T (a, b) are the p-th power and Seiffert means of two positive numbers a and b, respectively. |
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| Keywords: | power mean Seiffert mean inequality |
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