Strathprints logo
Strathprints Home | Open Access | Browse | Search | User area | Copyright | Help | Library Home | SUPrimo

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

Full text not available in this repository. (Request a copy from the Strathclyde author)

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].

Item type: Article
ID code: 17731
Keywords: divided differences, minimax error, truncated Chebyshev series, Chebyshev coefficient, Mathematics, Computational Mathematics, Analysis, Mathematics(all)
Subjects: Science > Mathematics
Department: Faculty of Engineering > Electronic and Electrical Engineering
Depositing user: Strathprints Administrator
Date Deposited: 12 May 2010 16:33
Last modified: 21 May 2015 11:28
URI: http://strathprints.strath.ac.uk/id/eprint/17731

Actions (login required)

View Item View Item