关于S.N.Bernstein问题的新研究

数学物理学报 ›› 2000, Vol. 20 ›› Issue (2): 256-260.

关于S.N.Bernstein问题的新研究

（烟台大学数学与信息科学系山东烟台 264005）

出版日期:2000-03-03 发布日期:2000-03-03

New study on the S.N.Bernstein Problem

(Department of Mathematics and informational science Yantai University Shandong Yantai 264005)

Online:2000-03-03 Published:2000-03-03

摘要/Abstract

摘要：

该文利用两点修正的方法构造了一个三角插值多项式算子T_n(f; r, x),进一步讨论了S.N.Bernstein问题，圆满地回答了S.N.Bernstein问题.

关键词: Ｓ．Ｎ．Ｂｅｒｎｓｔｅｉｎ问题, 收敛阶, 三角插值多项式．

Abstract:

In this paper, a triangle interpolation polynomial is constructed through the method of two zero nodes revised. The S.N.Bernstein problem is discussed in a deep step. The answer of the problem of S.N.Bernstein is the best.

Key words: ＴｈｅｐｒｏｂｌｅｍｏｆＳ．Ｎ．Ｂｅｒｎｓｔｅｉｎ, Ｃｏｎｖｅｒｇｅｎｃｅｏｒｄｅｒｔｒｉａｎｇｌｅｉｎｔｅｒｐｏｌａｔｉｏｎｐｏｌｙｎｏｍｉａｌ

中图分类号:

４２Ａ１０

袁学刚王敏. 关于S.N.Bernstein问题的新研究[J]. 数学物理学报, 2000, 20(2): 256-260.

Yuan Xuegang Wang Min. New study on the S.N.Bernstein Problem[J]. Acta mathematica scientia,Series A, 2000, 20(2): 256-260.

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