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The Limit of Biased Varisolvent Chebyshev Approximation

Published online by Cambridge University Press:  20 November 2018

Charles B. Dunham
Charles B. Dunham*
Affiliation:
Computer Science Department University of Western Ontario, LondonOntario N6A 5B9 Canada
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Abstract

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Best biased and one-sided Chebyshev approximation with respect to a varisolvent approximating function on an interval are considered. The uniform limit of best biased approximations is the (unique) best one-sided approximation if the best one-sided approximation is of maximum degree. Examples are given where the best one-sided approximation is not of maximum degree and failure of uniform convergence and of existence occurs.

Keywords

41A50
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 25 , Issue 1 , 01 March 1982 , pp. 54 - 58
Copyright
Copyright © Canadian Mathematical Society 1982

References

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