SHARP BOUNDS FOR SANDOR-YANG MEANS IN TERMS OF QUADRATIC MEAN

被引：1

作者：

Xu, Hui-Zuo ^{[1
]}

Qian, Wei-Mao ^{[2
]}

机构：

[1] Wenzhou Broadcast & TV Univ, Sch Econ & Management, Wenzhou 325000, Peoples R China

[2] Huzhou Broadcast & TV Univ, Sch Distance Educ, Huzhou 313000, Peoples R China

来源：

JOURNAL OF MATHEMATICAL INEQUALITIES | 2018年 / 12卷 / 04期

关键词：

Schwab-Borchardt mean; Sandor-Yang mean; arithmetic mean; quadratic mean; COMPLETE ELLIPTIC INTEGRALS; NEUMAN-SANDOR; INEQUALITIES; SEIFFERT; REFINEMENTS; RESPECT; KIND;

D O I：

10.7153/jmi-2018-12-87

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In the article, we find the best possible parameters alpha, beta, lambda, mu is an element of (1/2, 1) such that the double inequalities Q[alpha a + (1 - alpha)b, alpha b + (1 - alpha)a] < R-QA(a,b) < Q[beta a + (1 - beta)b, beta b + (1 - beta)a], Q[lambda a + (1 - lambda)b, lambda b + (1 - lambda)a] < R-QA(a,b) < Q[mu a + (1 - mu)b, mu b + (1 - mu)a] hold for all a, b > 0 with a not equal b, where Q(a,b) = root(a(2)+b(2))/2 is the quadratic mean, and R-QA(a, b) and R-AQ(a, b) are two Sandor-Yang means.

引用

页码：1149 / 1158

页数：10

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