Miao-Kun Wang

activity

20122021

most citedInequalities for generalized trigonometric and hyperbolic sine functions

6 citations · 15 across the 9 of their papers we have counts for

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6 papers · 1 filter

math.CA2012★ 6 cited

Inequalities for generalized trigonometric and hyperbolic sine functions

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

We prove that the inequalities $sin_{p, q} (r s) \geq sin_{p, q} (r) sin_{p, q} (s)$ and $sinh_{p, q} (r^{*} s^{*}) \leq sinh_{p, q} (r^{*}) sinh_{p, q} (s^{*})$ hold for…

math.CA2012★ 3 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 $F (a, b; a + b; x)$ , $a,b…

math.CA2012★ 2 cited

Sharp inequalities for the Neuman-Sandor mean in terms of arithmetic and contra-harmonic means

Miao-Kun Wang, Yu-Ming Chu, Bao-Yu Liu

In this paper, we find the greatest values $α$ and $λ$ , and the least values $β$ and $μ$ such that the double inequalities $C^{α} (a, b) A^{1 - α} (a, b) < M (a, b) < C^{β} (a, b) A^{1 - β} (a, b)$ and…

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+…

math.CA2012★ 1 cited

Refinements of the inequalities between Neuman-Sandor, arithmetic, contra-harmonic and quadratic means

Yu-Ming Chu, Miao-Kun Wang

In this paper, we prove that the inequalities $α [1/3 Q (a, b) + 2/3 A (a, b)] + (1 - α) Q^{1/3} (a, b) A^{2/3} (a, b) < M (a, b) < β [1/3 Q (a, b) + 2/3 A (a, b)] + (1 - β) Q^{1/3} (a, b) A^{2/3} (a, b)$ and $λ[1/6 C(a…

math.CA2012★ 3 cited

Asymptotical Bounds for Complete Elliptic Integrals of the Second Kind

Miao-Kun Wang, Yu-Ming Chu

In this paper, we establish several asymptotical bounds for the complete elliptic integrals of the second kind $E (r)$ , and improve the well-known conjecture $\mathcal{E}(…