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Chebyshev approximation with a null space


Author: Charles B. Dunham
Journal: Proc. Amer. Math. Soc. 41 (1973), 557-558
MSC: Primary 41A50
DOI: https://doi.org/10.1090/S0002-9939-1973-0326244-9
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.


References [Enhancements On Off] (What's this?)

  • [1] C. B. Dunham, Chebyshev approximation by families with the betweeness property, Trans. Amer. Math. Soc. 136 (1969), 151-157. MR 38 #4880. MR 0236585 (38:4880)
  • [2] -, Linear Chebyshev approximation, Aequationes Math. (to appear). MR 0344760 (49:9499)
  • [3] -, Families satisfying the Haar condition, J. Approximation Theory (to appear). MR 0358182 (50:10647)

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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1973-0326244-9
Keywords: Chebyshev approximation, betweenness property, uniqueness
Article copyright: © Copyright 1973 American Mathematical Society

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