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arXiv · 1201.6480

Some sharp inequalities involving Seiffert and other means and their concise proofs

Wei-Dong Jiang·Feng Qi
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Abstract

In the paper, by establishing the monotonicity of some functions involving the sine and cosine functions, the authors provide concise proofs of some known inequalities and find some new sharp inequalities involving the Seiffert, contra-harmonic, centroidal, arithmetic, geometric, harmonic, and root-square means of two positive real numbers $a$ and $b$ with $a\ne b$.

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Wei-Dong Jiang, Feng Qi. 2012-01-31. Some sharp inequalities involving Seiffert and other means and their concise proofs. https://doi.org/10.7153/mia-15-86

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