A best-possible double inequality between Seiffert and harmonic means

作者:Chu, Yu-Ming*; Wang, Miao-Kun; Wang, Zi-Kui
来源:JOURNAL OF INEQUALITIES AND APPLICATIONS, 2011, 94.
DOI:10.1186/1029-242X-2011-94

摘要

In this paper, we establish a new double inequality between the Seiffert and harmonic means. The achieved results is inspired by the papers of Sandor (Arch. Math., 76, 34-40, 2001) and Hasto (Math. Inequal. Appl., 7, 47-53, 2004), and the methods from Wang et al. (J. Math. Inequal., 4, 581-586, 2010). The inequalities we obtained improve the existing corresponding results and, in some sense, are optimal. 2010 Mathematics Subject Classification: 26E60.

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