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arxiv: 1312.3500 · v1 · pith:V2V4VFLLnew · submitted 2013-12-12 · 🧮 math.CA

A unified proof of inequalities and some new inequalities involving Neuman-S\'andor mean

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keywords inequalitiesmeanssomeandorneuman-scontra-harmonicinvolvingproof
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In the paper, by finding linear relations of differences between some means, the authors supply a unified proof of some double inequalities for bounding Neuman-S\'andor means in terms of the arithmetic, harmonic, and contra-harmonic means and discover some new sharp inequalities involving Neuman-S\'andor, contra-harmonic, root-square, and other means of two positive real numbers.

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