The Best Interpolating Approximation is a Limit of Best Weighted Approximations
Canadian mathematical bulletin, Tome 25 (1982) no. 4, pp. 502-503

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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.
DOI : 10.4153/CMB-1982-075-8
Mots-clés : 41A29
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
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     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/}
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