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Optimal Bounds for Neuman‐Sándor Mean in Terms of the Convex Combinations of Harmonic, Geometric, Quadratic, and Contraharmonic Means

Tie‐Hong ZhaoDepartment of Mathematics, Hangzhou Normal University, Hangzhou 313036, ChinaYu‐Ming ChuSchool of Mathematics and Computation Sciences, Hunan City University, Yiyang 413000, ChinaBaoyu LiuSchool of Science, HangZhou Dianzi University, Hangzhou 310018, China
2012en
ABI

Abstract

We present the best possible lower and upper bounds for the Neuman‐Sándor mean in terms of the convex combinations of either the harmonic and quadratic means or the geometric and quadratic means or the harmonic and contraharmonic means.

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