Optimal evaluations of some Seiffert-type means by power means

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摘要

Let us consider the second trigonometric mean T defined by Seiffert and the hyperbolic mean M defined by Neuman and Sándor. There are some known inequalities between these means and some power means Ap. We prove that the evaluationsAln2/ln(ln(3+22))

论文关键词:Seiffert type means,Power means,Stolarsky means,Schwab–Borchardt mean,Lehmer means,Heron means,Inequalities of means

论文评审过程:Available online 22 November 2012.

论文官网地址:https://doi.org/10.1016/j.amc.2012.10.091