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20122015
most citedInequalities for generalized trigonometric and hyperbolic sine functions

6 citations · 19 across the 13 of their papers we have counts for

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13 papers · 1 filter

math.CA2015

Optimal evaluations for the Sándor-Yang mean by power mean

Zhen-Hang Yang, Yu-Ming Chu

In this paper, we prove that the double inequality a, b>0a\neq bp\leq 4\log 2/(4+2\log 2-π)=1.2351\cdots$ an…

math.CA20132 cited

A Power Mean Inequality involving the complete elliptic integrals

Gendi Wang, Xiaohui Zhang, Yuming Chu

In this paper the authors investigate a power mean inequality for a special function which is defined by the complete elliptic integrals.

math.CA20126 cited

Inequalities for generalized trigonometric and hyperbolic sine functions

Miao-Kun Wang, Yu-Ming Chu, Yue-Ping Jiang

We prove that the inequalities and hold for…

math.CA20121 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.CA20123 cited

Ramanujan's cubic transformation inequalities for zero-balanced hypergeometric functions

Miao-Kun Wang, Yu-Ming Chu, Ye-Ping Jiang

In this paper, a generalization of Ramanujan's cubic transformation, in the form of an inequality, is proved for zero-balanced Gaussian hypergeometric function , $a,b…

math.CA20121 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…