Bounds for the Neuman-Sandor Mean in Terms of the Arithmetic and Contra-Harmonic Means

被引:4
|
作者
Li, Wen-Hui [1 ]
Miao, Peng [1 ]
Guo, Bai-Ni [2 ]
机构
[1] Zhengzhou Univ Sci & Technol, Dept Basic Courses, Zhengzhou 450064, Peoples R China
[2] Henan Polytech Univ, Sch Math & Informat, Jiaozuo 454010, Henan, Peoples R China
关键词
Neuman-Sandor mean; arithmetic mean; contra-harmonic mean; bound; inequality; hyperbolic sine function; hyperbolic cosine function; SHARP BOUNDS;
D O I
10.3390/axioms11050236
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, the authors provide several sharp upper and lower bounds for the Neuman-Sandor mean in terms of the arithmetic and contra-harmonic means, and present some new sharp inequalities involving hyperbolic sine function and hyperbolic cosine function.
引用
收藏
页数:12
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