修正有理算子的逼近定理

Approximation Theorem on Modified Rational Operators

介绍有理插值算子以及修正有理插值算子的一般形式,根据核函数的性质,提出两种控制型修正有理插值算子,并且分别给出它们的Jackson型估计。

In this paper, the general forms of rational interpolation operators and modified rational in- terpolation operators are introduced. Using the kernel function, two new types of control-modified rational interpolation operators are introduced. The Jackson estimates are also given.