Adamovic's不等式的推广与加细

数学季刊 ›› 2004, Vol. 19 ›› Issue (1): 35-40.

Adamovic's不等式的推广与加细

Teacher's College, Beijing Union University, Beijing 100011, China

收稿日期:2002-01-29 出版日期:2004-03-30 发布日期:2024-03-25
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.

Extensions and Refinements of Adamovic's Inequality

Teacher's College, Beijing Union University, Beijing 100011, China

Received:2002-01-29 Online:2004-03-30 Published:2024-03-25
About author:SHI Huan-nan(1948-),male,native of Qidong,Hunan,a professor of Beijing Union University, engages in theory of analytic inequalities.

摘要/Abstract

摘要： In this article, by means of the theory of majorization, Adamovic’s inequality is extended to the cases of the general elementary symmetric functions and its duals, and the refined and reversed forms are also given. As applications, some new inequalities for simplex are established.

关键词: Adamovic's , inequality, elementary , , symmetric , function, majorization, simplex

Abstract: In this article, by means of the theory of majorization, Adamovic’s inequality is extended to the cases of the general elementary symmetric functions and its duals, and the refined and reversed forms are also given. As applications, some new inequalities for simplex are established.

Key words: Adamovic's , inequality, elementary , , symmetric , function, majorization, simplex

中图分类号:

O178.1
O184

石焕南, 李大矛. Adamovic's不等式的推广与加细[J]. 数学季刊, 2004, 19(1): 35-40.

SHI Huan-nan, LI Da-mao. Extensions and Refinements of Adamovic's Inequality[J]. Chinese Quarterly Journal of Mathematics, 2004, 19(1): 35-40.

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