The Limit of Biased Varisolvent Chebyshev Approximation
Canadian mathematical bulletin, Tome 25 (1982) no. 1, pp. 54-58
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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.
Dunham, Charles B. The Limit of Biased Varisolvent Chebyshev Approximation. Canadian mathematical bulletin, Tome 25 (1982) no. 1, pp. 54-58. doi: 10.4153/CMB-1982-007-1
@article{10_4153_CMB_1982_007_1,
author = {Dunham, Charles B.},
title = {The {Limit} of {Biased} {Varisolvent} {Chebyshev} {Approximation}},
journal = {Canadian mathematical bulletin},
pages = {54--58},
year = {1982},
volume = {25},
number = {1},
doi = {10.4153/CMB-1982-007-1},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1982-007-1/}
}
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