A DOUBLE INEQUALITY FOR THE COMBINATION OF TOADER MEAN AND THE ARITHMETIC MEAN IN TERMS OF THE CONTRAHARMONIC MEAN

被引：10

作者：

Jiang, Wei-Dong ^{[1
]}

Qi, Feng ^{[2
,3
,4
]}

机构：

[1] Weihai Vocat Coll, Dept Informat Engn, Weihai City, Shandong, Peoples R China

[2] Tianjin Polytech Univ, Coll Sci, Dept Math, Tianjin, Peoples R China

[3] Inner Mongolia Univ Nationalities, Coll Math, Tongliao City, Inner Mongolia, Peoples R China

[4] Henan Polytech Univ, Inst Math, Jiaozuo City, Henan Province, Peoples R China

来源：

PUBLICATIONS DE L INSTITUT MATHEMATIQUE-BEOGRAD | 2016年 / 99卷 / 113期

关键词：

bound; contraharmonic mean; arithmetic mean; Toader mean; complete elliptic integrals;

D O I：

10.2298/PIM141026009J

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We find the greatest value lambda and the least value mu such that the double inequality C(lambda a + (1 - lambda)b, lambda b + (1 - lambda)a) < alpha A (a,b) C(mu a + (1 -mu)b, mu b + (1 - mu)a) holds for all alpha is an element of (0, 1) and a, b > 0 with a not equal b, where C (a, b), Lambda (a, b), and T (a, b) denote respectively the contraharmonic, arithmetic, and Toader means of two positive numbers a and b.

引用

页码：237 / 242

页数：6

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