Gauss—Weierstrass算子的某些逼近性质

Some Approximation Properties of the Gauss-Weierstrass Operator

该文主要讨论了Gauss—Weierstrass算子｛Wn｝在给定点对LipschitZ函数类的逼近误差以及某些高阶逼近问题，并得到了｛wn｝的局部Nikolskii常数。

In this paprt,the approximate error and some appoximation properties ofhigher order of the Lipschit2 class by the Gauss-Weierstrass operator are considered,thelocal Nikolskii constant of this operator is obtained.