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Quasi-interpolation and approximation via nonseparable scaling function

✍ Scribed by Enbing Lin; Ling Yi


Book ID
105629380
Publisher
Springer
Year
2002
Tongue
English
Weight
446 KB
Volume
18
Category
Article
ISSN
1573-8175

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πŸ“œ SIMILAR VOLUMES


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✍ Kang Zhao πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 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

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We investigate the approximation properties of general polynomial preserving operators that approximate a function into some scaled subspace of L 2 via an appropriate sequence of inner products. In particular, we consider integer shift-invariant approximations such as those provided by splines and w