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Approximation by a Class of Combinations of Multidimensional Gauss-Weierstrass Operators
Received:October 16, 1999
Key Words
:
multidimensional Gauss-Weierstrass operators
linear combination of mutidi-mensional operators
uniform approximation
characterization.
Fund Project
:
Author Name
Affiliation
ZHAO De-jun
Dept. of Math.
Shaoxing College of Arts and Sciences
Zhejiang
China
SONG Ru-ying
Dept. of Math.
Taiyuan Teacher's College
Shanxi
China
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Abstract
:
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.
Citation:
DOI
:
10.3770/j.issn:1000-341X.2002.03.028
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