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Interpolation and best simultaneous approximation

✍ Scribed by Héctor H. Cuenya; Fabián E. Levis

Book ID
108159112
Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
308 KB
Volume
162
Category
Article
ISSN
0021-9045

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Simultaneous Approximation and Quasi-Int
Simultaneous Approximation and Quasi-Interpolants
✍ Kang Zhao 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 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