On Pointwise Approximation Of Gauss-Weierstrass Operators

摘要

The metric form Omega(x)(f, lambda), which was introduced by Zeng and Cheng in [8], plays an important role in the estimate of pointwise approximation of functions which have left limit f(x-) and right limit f(x+) at given point x. In this paper, Using the metric form Omega(x)(f, lambda) and the Bojanic-Khan-Cheng's method combining with analysis techniques, we obtain the asymptotic estimates on the rates of pointwise approximation of Gauss-Weierstrass operators on two classes of functions with certain growth condition.