关于广义对数平均的一个不等式的加细

数学季刊 ›› 2008, Vol. 23 ›› Issue (4): 594-599.

关于广义对数平均的一个不等式的加细

1. Department of Electronie Information,Teacher's College ofBeijing Union University,Beijing 100011,China2. Department of Mathematics,Longyan College,Longyan 364012,China

收稿日期:2004-12-20 出版日期:2008-12-30 发布日期:2023-09-18
作者简介:SHI Huan-nan(1948-), male, native of Qidong, Hunan, a professor of Beijing Union University, engages in theory of analytic inequalities.
基金资助:
Supported by the Scientific Research Common Program of Beijing Municipal Commission of Education of China(Km200611417009)； Supported by the Natural Science Foundation of Fujian Province Education Department of China(JA05324)；

Refinement of an Inequality for the Generalized Logarithmic Mean

1. Department of Electronie Information,Teacher's College ofBeijing Union University,Beijing 100011,China2. Department of Mathematics,Longyan College,Longyan 364012,China

Received:2004-12-20 Online:2008-12-30 Published:2023-09-18
About author:SHI Huan-nan(1948-), male, native of Qidong, Hunan, a professor of Beijing Union University, engages in theory of analytic inequalities.
Supported by:
Supported by the Scientific Research Common Program of Beijing Municipal Commission of Education of China(Km200611417009)； Supported by the Natural Science Foundation of Fujian Province Education Department of China(JA05324)；

摘要/Abstract

摘要： In this article, we show that the generalized logarithmic mean is strictly Schurconvex function for p>2 and strictly Schur-concave function for p<2 on R+2.And then we give a refinement of an inequality for the generalized logarithmic mean inequality using a simple majoricotion relation of the vector.

关键词: inequality, refinement, generalized logarithmic mean, strictly , Schur-convex function, strictly Schur-concave function

Abstract: In this article, we show that the generalized logarithmic mean is strictly Schurconvex function for p>2 and strictly Schur-concave function for p<2 on R+2.And then we give a refinement of an inequality for the generalized logarithmic mean inequality using a simple majoricotion relation of the vector.

Key words: inequality, refinement, generalized logarithmic mean, strictly , Schur-convex function, strictly Schur-concave function

中图分类号:

O178.1

石焕南, 吴善和. 关于广义对数平均的一个不等式的加细[J]. 数学季刊, 2008, 23(4): 594-599.

SHI Huan-nan, WU Shan-he. Refinement of an Inequality for the Generalized Logarithmic Mean[J]. Chinese Quarterly Journal of Mathematics, 2008, 23(4): 594-599.

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