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函数|x|在L空间中用插值样条的逼近

沙震   

  1. 浙江大学
  • 出版日期:1983-04-14 发布日期:1983-04-14

沙震. 函数|x|在L空间中用插值样条的逼近[J]. 计算数学, 1983, 5(4): 353-358.

APPROXIMATION TO FUNCTION |x| BY INTERPOLATING SPLINES IN L SPACE

  1. Sha Zhen Zhejiang University
  • Online:1983-04-14 Published:1983-04-14
对|x|用有理函数的逼近亦有一些工作. 函数|x|是连续函数,但其导数在x=0处间断.讨论对|x|的样条逼近,对于一般导数有间断的函数用样条的逼近问题亦是有兴趣的.Golomb讨论了L~2中用等距周期
In this paper we give the degree of approximation to the function |x| by interpo-lating splines in L space.
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[1] M. Golomb, Spline interpolation near discontinuities. In "Approximaxion with special emphasis on spline functions" I. J. Schoenberg, ed., academic prese. 51--74(1969) .
[2] G.D.Andria,G.D.Byrne,C.A.Hall,J.Approx.Th.,8(1973) ,150-159.
[3] 泮承洞,数学的实践与认识,4(1975) ,56-77.
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