Sharp one-parameter geometric and quadratic means bounds for the Sandor-Yang means

被引：41
|
作者：
Wang, Bo [1 ]
Luo, Chen-Lan [1 ]
Li, Shi-Hui [1 ]
Chu, Yu-Ming [2 ,3 ]
机构：
[1] Yiwu Ind & Commercial Coll, Yiwu 322000, Peoples R China
[2] Huzhou Univ, Dept Math, Huzhou 313000, Peoples R China
[3] Changsha Univ Sci & Technol, Sch Math & Stat, Changsha 410114, Peoples R China
来源：
REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS | 2020年 / 114卷 / 01期
关键词：
Geometric mean; Quadratic mean; Yang mean; Sandor-Yang mean; SINGULAR INTEGRAL OPERATOR; DIFFERENTIAL-EQUATIONS; LIMIT-CYCLES; CONVERGENCE; INEQUALITIES; BOUNDEDNESS; EXISTENCE; VARIANT; TERMS;
D O I：
10.1007/s13398-019-00734-0
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In the article, we present the best possible upper and lower bounds for the Sandor-Yang means in terms of the families of one-parameter geometric and quadratic means, and discover new bounds for the inverse tangent and inverse hyperbolic sine functions.
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页数：10
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