吉林大学学报(工学版) ›› 2001, Vol. ›› Issue (1): 47-51.

• 论文 • 上一篇    下一篇

第三型Bernstein S.N.插值过程

袁学刚1, 何甲兴2   

  1. 1. 烟台大学 数学与信息科学系, 山东 烟台 264005;
    2. 吉林大学 南岭校区理学院, 吉林 长春 130025
  • 收稿日期:2000-03-23 出版日期:2001-01-25

Study on the Third Type of Bernstein S.N.Interpolation Process

YUAN Xue-gang1, HE Jia-xing2   

  1. 1. Dept of Mathematics and Information Science, Yantai University, Shandong 264005, China;
    2. College of Sciences, Jilin University, Nanling Campus, Changchun 130025, China
  • Received:2000-03-23 Online:2001-01-25

摘要: 对Bernstein S.N.问题做了进一步讨论,利用两点修正的方法构造了算子Pn(f;x),并得到了较好的结果。

关键词: 一致收敛, 最佳收敛阶, 第三型Bernstein S.N.插值过程

Abstract: In this paper,Bernstein S.N.problem is studied in a deeper step and a new operator Pn(f;x) is constructed by the method of two revised zero nodes and better results are achieved.

Key words: converge uniformly, convergence order, the third type of Bernstein S.N. interpolation process

中图分类号: 

  • O174.41
[1] Bernstein S N. Ona class of modifing Lagrange interpolation formula[J]. Acad Nauk, 1954(2):130~140.
[2] 朱来义.关于修正的Lagrange插值多项式[J].数学学报,1993(1):136 144.
[3] He Jiaxing, Ye Jichang. On an interpolation polynomial of Bernstein S. N. type[J]. Acta Math. Hungar, 1996:70(4):293~303.
[4] Varma A K. A new proof of A. F. Timan's approximation theorem[J]. Journal of Approx. Theory, 1976(18):57~62.
[5] Sun Xiehua. On a Ditizan-Totik theorem[J].Journal of Approx. Theory, 1994(77):179~183.
[6] 孙燮华.两个Bernstein型插值过程的逼近阶[J].数学年刊,1984,5(A)3:347~354.
[1] 张雨雷, 李松涛, 王淑云, 何甲兴. S. N. Bernstein型第三求和多项式算子[J]. 吉林大学学报(工学版), 2002, (1): 62-67.
[2] 张淑婷, 王淑云, 何甲兴. 二元组合型三角插值多项式的收敛阶[J]. 吉林大学学报(工学版), 2002, (1): 52-56.
[3] 何甲兴, 孙雪楠. 一个组合型的三角插值多项式[J]. 吉林大学学报(工学版), 2000, (2): 62-65.
Viewed
Full text


Abstract

Cited

  Shared   
  Discussed   
No Suggested Reading articles found!