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One-sided L1 approximation by splines with fixed knots

✍ Scribed by Allan Pinkus

Publisher: Elsevier Science
Year: 1976
Tongue: English
Weight: 283 KB
Volume: 18
Category: Article
ISSN: 0021-9045
DOI: 10.1016/0021-9045(76)90101-5

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Let f ¥ C 2, 2 ([ -1, 1] 2 ) be a real function satisfying " 4 f/"x 2 "y 2 \ 0 on [ -1, 1] 2 . We study the problem of best one-sided L 1 -approximation to f from the linear space {h ¥ C 2, 2 ([ -1, 1] 2 ) : " 4 h/"x 2 "y 2 =0} of all blending functions of order (2, 2). The unique best one-sided L 1