Chebyshev approximation with a null space
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- by Charles B. Dunham PDF
- Proc. Amer. Math. Soc. 41 (1973), 557-558 Request permission
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
- Charles B. Dunham, Chebyshev approximation by families with the betweeness property, Trans. Amer. Math. Soc. 136 (1969), 151–157. MR 236585, DOI 10.1090/S0002-9947-1969-0236585-5
- Charles B. Dunham, Linear Chebyshev approximation, Aequationes Math. 10 (1974), 40–45. MR 344760, DOI 10.1007/BF01834779
- Charles B. Dunham, Families satisfying the Haar condition, J. Approximation Theory 12 (1974), 291–298. MR 358182, DOI 10.1016/0021-9045(74)90070-7
Additional Information
- © Copyright 1973 American Mathematical Society
- 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