Tie-hong Zhao

activity

20102023

most citedSome Best Possible Inequalities Concerning Certain Bivariate Means

1 citations · 3 across the 4 of their papers we have counts for

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Showing 2012Show all

3 papers · 1 filter

math.CA2012★ 1 cited

A note on the Neuman-Sándor Mean

Tie-Hong Zhao, Yu-Ming Chu, Bao-Yu Liu

In this article, we present the best possible upper and lower bounds for the Neuman-Sándor mean in terms of the geometric combinations of harmonic and quadratic means, geometric an…

math.CA2012★ 1 cited

Some Best Possible Inequalities Concerning Certain Bivariate Means

Tie-Hong Zhao, Yu-Ming Chu, Bao-Yu Liu

In this paper, some inequalities of bounds for the Neuman-Sándor mean in terms of weighted arithmetic means of two bivariate means are established. Bounds involving weighted arithm…

math.CA2012

Optimal bounds for the Neuman-Sandor means in terms of geometric and contra-harmonic means

Tie-Hong Zhao, Yu-Ming Chu, Bo-Yu Liu

In this article, we prove that the double inequality $α G (a, b) + (1 - α) C (a, b) < M (a, b) < β G (a, b) + (1 - β) C (a, b)$ holds true for all $a, b > 0$ with $a \neq = b$ if and only if $α \geq 5/9$ and $β\…