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Simultaneous interpolation and approximation of continuous functions

โœ Scribed by Al. A. Privalov

Publisher
SP MAIK Nauka/Interperiodica
Year
1984
Tongue
English
Weight
563 KB
Volume
35
Category
Article
ISSN
0001-4346

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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