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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Chebyshev approximation with a null space


Author: Charles B. Dunham
Journal: Proc. Amer. Math. Soc. 41 (1973), 557-558
MSC: Primary 41A50
MathSciNet review: 0326244
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Abstract: Chebyshev approximation involving continuous functions vanishing on a closed set $ V$ is considered. The approximating families studied have the betweenness property. Examples are given of such families. A necessary and sufficient condition for uniqueness of best approximations is obtained.


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DOI: http://dx.doi.org/10.1090/S0002-9939-1973-0326244-9
PII: S 0002-9939(1973)0326244-9
Keywords: Chebyshev approximation, betweenness property, uniqueness
Article copyright: © Copyright 1973 American Mathematical Society