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The Best Interpolating Approximation is a Limit of Best Weighted Approximations

Published online by Cambridge University Press:  20 November 2018

Lee L. Keener
Lee L. Keener*
Affiliation:
Department of Mathematics, Statistics and Computing Science, Dalhousie University, Halifax, Nova Scotia, Canada, B3H 4H8
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Abstract

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Under appropriate conditions it is shown that the best interpolating approximation to a given function in the uniform norm is a limit of best unconstrained approximations with respect to a certain sequence of discontinuous weight functions.

Keywords

41A29
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 25 , Issue 4 , 01 December 1982 , pp. 502 - 503
Copyright
Copyright © Canadian Mathematical Society 1982

References

1. Dunham, C. B., Problems in best approximation, Technical Report 62, Department of Computer Science, University of Western Ontario, 1981.Google Scholar
2. Loeb, H. L., Moursund, D. G., Schumaker, L. L. and Taylor, G. D., Uniform generalized weight function polynomial approximation with interpolation, SIAM J. Numer. Anal. 6 (1969), 283-293.Google Scholar