# A note on the Neuman-S\'andor Mean

@article{Zhao2012ANO, title={A note on the Neuman-S\'andor Mean}, author={Tiehong Zhao and Yuming Chu and Baoyu Liu}, journal={arXiv: Classical Analysis and ODEs}, year={2012} }

In this article, we present the best possible upper and lower bounds for the Neuman-S\'andor mean in terms of the geometric combinations of harmonic and quadratic means, geometric and quadratic means, harmonic and contra-harmonic means, and geometric and contra-harmonic means.

## 6 Citations

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

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- 2013

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…

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In the article, we present the sharp upper and lower bounds for the arithmetic mean in terms of new Seiffert-like means, which give some refinements of the results obtained in [1]. As applications,…

Several sharp inequalities about the first Seiffert mean

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In this paper, we deal with the problem of finding the best possible bounds for the first Seiffert mean in terms of the geometric combination of logarithmic and the Neuman–Sándor means, and in terms…

Monotonicity criterion for the quotient of power series with applications

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Abstract In this paper, we present the necessary and sufficient condition for the monotonicity of the quotient of power series. As applications, some gaps and misquotations in certain published…

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We present the best possible lower and upper bounds for the Neuman-Sandor mean in terms of the convex combinations of either the harmonic and quadratic means or the geometric and quadratic means or…

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In this paper we find the best possible lower power mean bounds for the Neuman-Sandor mean and present the sharp bounds for the ratio of the Neuman-Sandor and identric means.

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In the paper, the authors find sharp bounds for Neuman-Sándor’s mean in terms of the root-mean-square.

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