一类多元Gauss-Weierstrass算子线性组合的逼近

Approximation by a Class of Combinations of Multidimensional Gauss-Weierstrass Operators

中文关键词:  多元Gauss-Weierstrass算子  多元线性组合  一致逼近  特征刻画

英文关键词:multidimensional Gauss-Weierstrass operators  linear combination of mutidi-mensional operators  uniform approximation  characterization.

中文摘要:

      本文主要讨论一类多元Gauss-Weierstrass算子的线性组合的逼近性质,建立了一致逼近下的正、逆定理,并给出了逼近阶的特征刻画.

英文摘要:

      In this paper, a class of combinations of multidimensional Gauss-Weierstrass operators are considered, and the direct and converse theorems and the characterization of approximation rate are given.