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Notes on Numerical Analysis III

Further Remarks on Sectionally Linear Functions

Published online by Cambridge University Press:  20 November 2018

Hans Schwerdtfeger
Hans Schwerdtfeger*
Affiliation:
McGill University
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This note is to complement the earlier paper on the same subject (Canad. Math. Bull. 3 (1960), 41–57) in two points. The first part presents a simpler proof of the minimum property (cf. 1. c. section 3) of the orthogonal functions Ψv(x) (cf. 1. c. p. 46). In the second part we introduce another orthogonal system of sectionally linear functions χo(x), …, χn(x) which leads to a particularly simple interpolation formula. These functions appeared, mutatis mutandis, in the author's study on sectionally linear functions over an infinite range about which a report will be given elsewhere.

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 4 , Issue 1 , January 1961 , pp. 53 - 55
Copyright
Copyright © Canadian Mathematical Society 1961