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One-sided approximation of functions

โœ Scribed by Ronald DeVore

Publisher
Elsevier Science
Year
1968
Tongue
English
Weight
753 KB
Volume
1
Category
Article
ISSN
0021-9045

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Best One-Sided L 1-Approximation by Blen
Best One-Sided L 1-Approximation by Blending Functions of Order (2, 2)
โœ Dimiter Dryanov; Petar Petrov ๐Ÿ“‚ Article ๐Ÿ“… 2002 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 189 KB

Let f ยฅ 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 ยฅ 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