广义Agard偏差函数的不等式

Inequalities of Generalized Agard Distortion Function

通过对广义Agard偏差函数与一些初等函数组合形式的单调性和凹凸性的研究,获得了广义Agard偏差函数和广义线性偏差函数的最新上下界,从而推广了平面拟共形映射理论中Agard偏差函数与线性偏差函数的一些不等式。

By studying the monotonicity and convexity of the generalized Agard Distortion function and combination forms of some elementary functions, we obtain the latest upper and lower bounds for the generalized Agard Distoriton function and the generalized linear Distoriton function and then extend some inequalities of Agard Distoriton function and linear Distoriton function in the quasiconformal mapping theory.