New proofs of weighted power mean inequalities and monotonicity for generalized weighted mean values

被引：0

作者：

Qi, F ^{[1
]}

Mei, JQ

Xia, DF

Xu, SL

机构：

[1] Jiaozuo Inst Technol, Dept Math, Jiaozuo 454000, Henan, Peoples R China

[2] Nanjing Univ, Dept Math, Nanjing 210008, Jiangsu, Peoples R China

[3] Fuyang Normal Coll, Dept Math, Fuyang, Anhui, Peoples R China

[4] Univ Sci & Technol China, Dept Math, Hefei 230026, Anhui, Peoples R China

来源：

MATHEMATICAL INEQUALITIES & APPLICATIONS | 2000年 / 3卷 / 03期

关键词：

inequality; weighted mean; power mean; Cauchy-Schwarz-Buniakowski's inequality; monotonicity; generalized weighted mean values;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In the article, a new proof of the weighted power mean inequalities is given using Cauchy-Schwarz-Buniakowski's inequality, and another two simple and short proofs of monotonicity for the generalized weighted mean values with two parameters are showed.

引用

页码：377 / 383

页数：7

共 22 条

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