The Best Interpolating Approximation is a Limit of Best Weighted Approximations
Canadian mathematical bulletin, Tome 25 (1982) no. 4, pp. 502-503
Voir la notice de l'article provenant de la source Cambridge University Press
Under appropriate conditions it is shown that the best interpolating approximation to a given function in the uniform norm is a limit of best unconstrained approximations with respect to a certain sequence of discontinuous weight functions.
Keener, Lee L. The Best Interpolating Approximation is a Limit of Best Weighted Approximations. Canadian mathematical bulletin, Tome 25 (1982) no. 4, pp. 502-503. doi: 10.4153/CMB-1982-075-8
@article{10_4153_CMB_1982_075_8,
author = {Keener, Lee L.},
title = {The {Best} {Interpolating} {Approximation} is a {Limit} of {Best} {Weighted} {Approximations}},
journal = {Canadian mathematical bulletin},
pages = {502--503},
year = {1982},
volume = {25},
number = {4},
doi = {10.4153/CMB-1982-075-8},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1982-075-8/}
}
TY - JOUR AU - Keener, Lee L. TI - The Best Interpolating Approximation is a Limit of Best Weighted Approximations JO - Canadian mathematical bulletin PY - 1982 SP - 502 EP - 503 VL - 25 IS - 4 UR - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1982-075-8/ DO - 10.4153/CMB-1982-075-8 ID - 10_4153_CMB_1982_075_8 ER -
[1] 1. Dunham, C. B., Problems in best approximation, Technical Report 62, Department of Computer Science, University of Western Ontario, 1981. Google Scholar
[2] 2. Loeb, H. L., Moursund, D. G., Schumaker, L. L. and Taylor, G. D., Uniform generalized weight function polynomial approximation with interpolation, SIAM J. Numer. Anal. 6 (1969), 283-293. Google Scholar
Cité par Sources :