Xiao-Yan Ma

activity

20122024

most citedOn a Conjecture Concerning the Approximates of Complete Elliptic Integral of the First Kind by Inverse Hyperbolic Tangent

2 citations · 2 across the 5 of their papers we have counts for

collaborators

Showing 2012 · math.CAShow all

1 paper · 2 filters

math.CA2012

Sharp two parameter bounds for logarithmic and arithmetic-geometric means

Yu-Ming Chu, Ye-Fang Qiu, Miao-Kun Wang +1

For fixed $s \geq 1$ and $t_{1}, t_{2} \in (0, 1/2)$ we prove that the inequalities $G^{s} (t_{1} a + (1 - t_{1}) b, t_{1} b + (1 - t_{1}) a) A^{1 - s} (a, b) > A G (a, b)$ and $G^{s}(t_{2}a+(1-t_{2})b,t_{2}b+…