吉林大学学报(工学版) ›› 2001, Vol. ›› Issue (1): 43-46.

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Study on Estimation of Convergence Order of a New Bernstein Interpolation Process

WANG Shu-yun, SUN Yi, HE Jia-xing   

  1. College of Sciences, Jilin University, Nanling Campus, Changchun 130025, China
  • Received:2000-06-03 Online:2001-01-25

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Abstract: In this paper,the authors study the convergence order of the interpolation process of Bernstein polynomial Hn(f;x) approximate to f(x)∈C[-1,1]j(j=0 or j=1) on [-1,1].The result of the paper [1] is improved.

Key words: Bernstein interpolation polynomial, convergence order, best aproximation order

CLC Number: 

  • O174.41
[1] He Jiaxing, Zhang Yulei, Li Songtao. On a new interpolation process of S. N. Bernstein［J］. Acta Math Hungarica, 1996,73(4):327334.
[2] 袁学刚.关于一个Bernstein插值过程收敛阶的新估计［J］.吉林工业大学学报,1997,27(4):59～64.
[3] Varma A K. A new proof of Timan's A. F. approximation theorem［J］. Journal of Approximation Theory, 1976,18:57～62.
[1] ZHANG Y?-lei, LI Song-tao, WANG Shu-yun, HE Jia-xing. S. N. Bernstein Interpolation Polyromials on the Third Summation [J]. 吉林大学学报(工学版), 2002, (1): 62-67.
[2] ZHANG Shu-ting, WANG Shu-yun, HE Jia-xing. Convergence Order of Double Variate Combination Trigonometric Interpolation Polynomials [J]. 吉林大学学报(工学版), 2002, (1): 52-56.
[3] YUAN Xue-gang, HE Jia-xing. Study on the Third Type of Bernstein S.N.Interpolation Process [J]. 吉林大学学报(工学版), 2001, (1): 47-51.
[4] HE Jia-xing, SUN Xue-nan. Combinational Triangle Interpolation Polynomial [J]. 吉林大学学报(工学版), 2000, (2): 62-65.
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