一类三角插值多项式在W_p^rH~α空间的逼近

APPROXIMATION OF A CLASS OF TRIGONOMETRIC INTERPOLATION POLYNOMIALS IN THE W_p^rH~α SPACE

在WrpHα空间中,利用插值逼近的方法,研究了一类(0,p(D))三角插值多项式逼近的饱和问题,确定了逼近的饱和类与饱和阶.

In this paper,the approximation of saturation problem of a class of (0,p(D)) trigonometric interpolation polynomials in the W^r_pH~α space is studied by the interpolation way,the saturation class and the saturation order of approximation are determined.