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关于Bernstein多项式逼近p阶有界变差函数的注记
引用本文:姜功建.关于Bernstein多项式逼近p阶有界变差函数的注记[J].贵州工业大学学报(自然科学版),1993(3).
作者姓名:姜功建
作者单位:安徽省芜湖师专 芜湖市
摘    要:本文研究Bernstein多项式B_n(f,x)对p阶有界变差函数的逼近,所给出的逼近度较大地改进了文1]定理2.1、文2]定理和文3]定理2。

关 键 词:Bernstein多项式  p阶有界变差函数  逼近

A NOTE ON APPROXIMATION TO BERNSTEIN POLYNOMIALS OF FUNCTIONS OF BOUNDED VARIATION OF ORDER P
Jiang Gongjian.A NOTE ON APPROXIMATION TO BERNSTEIN POLYNOMIALS OF FUNCTIONS OF BOUNDED VARIATION OF ORDER P[J].Journal of Guizhou University of Technology(Natural Science Edition),1993(3).
Authors:Jiang Gongjian
Abstract:This paper deals with the approximation of Bernstein polynomials B_n(f, x) to functions of bounded variation of order P. The degree of approximation given in this paper improves theorem 2.1 in 1], theorem in 2] and theorem 2 in 3].
Keywords:Bernstein polynomials  functions of bounded variation of order P  approximation
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