Chebyshev approximation with a null space
Charles B. Dunham
Proc. Amer. Math. Soc. 41 (1973), 557-558
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Abstract: Chebyshev approximation involving continuous functions vanishing on a closed set 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.
B. Dunham, Chebyshev approximation by families
with the betweeness property, Trans. Amer.
Math. Soc. 136
(1969), 151–157. MR 0236585
(38 #4880), http://dx.doi.org/10.1090/S0002-9947-1969-0236585-5
B. Dunham, Linear Chebyshev approximation, Aequationes Math.
10 (1974), 40–45. MR 0344760
B. Dunham, Families satisfying the Haar condition, J.
Approximation Theory 12 (1974), 291–298. MR 0358182
- 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)
- -, Linear Chebyshev approximation, Aequationes Math. (to appear). MR 0344760 (49:9499)
- -, Families satisfying the Haar condition, J. Approximation Theory (to appear). MR 0358182 (50:10647)
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