ASYMPTOTIC-EXPANSION FORMULA FOR BERNSTEIN POLYNOMIALS DEFINED ON A SIMPLEX

被引：10

作者：

FENG, YY

KOZAK, J

机构：

[1] UNIV SCI & TECHNOL CHINA, DEPT MATH, HEFEI 230026, PEOPLES R CHINA

[2] EDVARD KARDELJ UNIV, DEPT MATH, Ljubljana 61000, YUGOSLAVIA

来源：

CONSTRUCTIVE APPROXIMATION | 1992年 / 8卷 / 01期

关键词：

BERNSTEIN POLYNOMIAL; SIMPLEX; ASYMPTOTIC EXPANSION;

D O I：

10.1007/BF01208905

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we give a complete expansion formula for Bernstein polynomials defined on an s-dimensional simplex. This expansion for a smooth function f represents the Bernstein polynomial B(n)(f) as a combination of derivatives of f plus an error term of order O(n(-s)).

引用

页码：49 / 58

页数：10