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Degree of best approximation by trigonometric blending functions

✍ Scribed by Werner Haußmann; Kurt Jetter; Bernd Steinhaus

Publisher
Springer-Verlag
Year
1985
Tongue
French
Weight
322 KB
Volume
189
Category
Article
ISSN
0025-5874

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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)
✍ Dimiter Dryanov; Petar Petrov 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 189 KB

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