Polynomial approximation errors for functions of low-order continuity

Elliott, D. and Taylor, P.J. (1991) Polynomial approximation errors for functions of low-order continuity. Constructive Approximation, 7 (1). pp. 381-387. ISSN 0176-4276 (http://dx.doi.org/10.1007/BF01888164)

Abstract

Given a function f defined on [-1, 1] we obtain, in terms of (n+1)st divided differences, expressions for the minimax error E n(f) and the error S n(f) obtained by truncating the Chebyshev series off after n+1 terms. The advantage of using divided differences is that f is required to have no more than a continuous second derivative on [-1, 1].

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• Item metadata

  Item type:	Article
  ID code:	17731
  Dates:	Date Event December 1991 Published
  Subjects:	Science > Mathematics
  Department:	Faculty of Engineering > Electronic and Electrical Engineering
  Depositing user:	Strathprints Administrator
  Date deposited:	12 May 2010 16:33
  Last modified:	11 Nov 2024 09:14
  URI:	https://strathprints.strath.ac.uk/id/eprint/17731