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Necessity of Alteration

Published online by Cambridge University Press:  20 November 2018

C. Dunham*
Affiliation:
University of Western Ontario
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In this note we point out a not easily fillable gap in the proof of a major result in Chebyshev approximations on an interval [α, β]. Tornheim developed a theory for approximation by families unisolvent of degree n (n-parameter families), which was extended by Rice to families unisolvent of variable degree.

Type
Research Article
Copyright
Copyright © Canadian Mathematical Society 1967

References

1. Rice, J.. Tchebycheff approximations by functions unisolvent of variable degree, Trans. Amer. Math. Soc., 9 (1966), 298-302.Google Scholar
2. Tornheim, L.. On n - parameter families of functions and associated convex functions, Trans. Amer. Math. Soc, 9 (1955) 457-467.Google Scholar