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
收藏
页码：377 / 383
页数：7
相关论文
共 22 条
  • [11] PECARIC J., 1996, NEJEDNAKOSTI
  • [12] Note on monotonicity of generalized weighted mean values
    Qi, F
    Zhang, SQ
    [J]. PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1999, 455 (1989): : 3259 - 3260
  • [13] Generalized weighted mean values with two parameters
    Qi, F
    [J]. PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1998, 454 (1978): : 2723 - 2732
  • [14] Qi F, 1997, J MATH ANAL APPL, V211, P616
  • [15] A simple proof of monotonicity for extended mean values
    Qi, F
    Luo, QM
    [J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1998, 224 (02) : 356 - 359
  • [16] The function (bx-ax)/x:: Inequalities and properties
    Qi, F
    Xu, SL
    [J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1998, 126 (11) : 3355 - 3359
  • [17] QI F, 1999, 2 RGFMIA
  • [18] Qi F., 1999, INT J MATH MATH SCI, V22, P415
  • [19] QI F., 1998, TAMKANG J MATH, V29, P155
  • [20] QI F, 2000, J INEQUALITIES PURE, V1
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