Geodesic
One-Sided L1 -Approximation
Canadian mathematical bulletin, Tome 29 (1986) no. 1, pp. 84-90

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DOI

Let Un be an n-dimensional subspace of C[0, 1]. We prove that if n ≥ 2, and Un contains a function which is strictly positive on (0, 1), then there exists an f ∈ C[0, 1] which has more than one best one-sided L '-approximation from Un . We also characterize those Un with the property that each f ∈ C[0, 1] has a unique best one-sided L1(w)-approximation from Un with respect to every strictly positive continuous weight function w.
DOI : 10.4153/CMB-1986-016-9
Mots-clés : 41A52 
Pinkus, A.; Totik, V. One-Sided L1 -Approximation. Canadian mathematical bulletin, Tome 29 (1986) no. 1, pp. 84-90. doi: 10.4153/CMB-1986-016-9
@article{10_4153_CMB_1986_016_9,
     author = {Pinkus, A. and Totik, V.},
     title = {One-Sided {L1} {-Approximation}},
     journal = {Canadian mathematical bulletin},
     pages = {84--90},
     year = {1986},
     volume = {29},
     number = {1},
     doi = {10.4153/CMB-1986-016-9},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1986-016-9/}
}
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AU  - Pinkus, A.
AU  - Totik, V.
TI  - One-Sided L1 -Approximation
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VL  - 29
IS  - 1
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DO  - 10.4153/CMB-1986-016-9
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