Optimal two-parameter geometric and arithmetic mean bounds for the Sándor–Yang mean

被引:0
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作者
Wei-Mao Qian
Yue-Ying Yang
Hong-Wei Zhang
Yu-Ming Chu
机构
[1] Huzhou Vocational & Technical College,School of Continuing Education
[2] Huzhou Vocational & Technical College,School of Mechanical and Electrical Engineering
[3] Changsha University of Science & Technology,School of Mathematics and Statistics
[4] Huzhou University,Department of Mathematics
关键词
Arithmetic mean; Geometric mean; Quadratic mean; Yang mean; Sándor–Yang mean; 26E60;
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学科分类号
摘要
In the article, we provide the sharp bounds for the Sándor–Yang mean in terms of certain families of the two-parameter geometric and arithmetic mean and the one-parameter geometric and harmonic means. As applications, we present new bounds for a certain Yang mean and the inverse tangent function.
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