E^p(D)(1<P<+∞)空间上的插值多项式逼近

Approximation in Spaces E^p(D) (1<p< +∞) by Interpolating Polynomials

§1引言 设D为复平面上由可求长闭Jordan曲线为边界所围的区域,(?)为D到单位圆U上的保形变换,其逆变换为.对于0<p<+∞,定义E^p(D)为在D内解析函数f(z)且满足:的函数集。

If the smoothness of the boundary of a domain D is supposed to be then the degree of approximation by Lagrange interpolation polynomial is equivalent to the degree of the best approximation in the spaces Ep(D'),1<p<+ .