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Simultaneous approximation, interpolation and Birkhoff systems

โœ Scribed by R.A Lorentz

Publisher
Elsevier Science
Year
1983
Tongue
English
Weight
597 KB
Volume
37
Category
Article
ISSN
0021-9045

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โœ Kang Zhao ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 748 KB

It is shown that the shift-invariant space S(.) generated by . # W m 2 (R s ) provides simultaneous approximation order k, with k>m, iff S(D : .) provides approximation order k&m in the L 2 (R s )-norm to all functions in D : W k 2 (R s ) for each |:| =m. Without appealing to the argument of polynom