张量积空间W_2~1〔A,B〕W_2~2〔C,D〕中的最佳Hermite-Birkhoff插值算子

On the Best Hermite-Birkhoff interpolation Operator in the Tensor Product Space W_2~1〔A,B〕W_2~2〔C,D〕

构造了一个具有再生核的张量积空间，并利用再生核与算子张量积方法，给出了二元函数非多项型最佳Ｈｅｒｍｉｔｅ－Ｂｉｒｋｈｏｆｆ插值算子显式表达式。

A tonsor product space [c, d] which has reproducing kernel is constructed. By the method of reproducing kernel and the tensor product of opera- tor, the explicit represetion of the best Hermite-Birkhoff interpolation operator (H: ,.u)(x, y) for the bivariate functions is given, which is not in polynomial form.