Pointwise simultaneous approximation by left gamma quasi-interpolants
โ Scribed by Hongbiao Jiang
- Publisher
- Springer
- Year
- 2008
- Tongue
- English
- Weight
- 107 KB
- Volume
- 24
- Category
- Article
- ISSN
- 1573-8175
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๐ SIMILAR VOLUMES
Recently, the quasi-interpolants of some classical operators were introduced. Mache and Miiller gave Baskakov quasi-interpolants and obtained approximation equivalence theorem with w2~r(f,t)oo. In this paper, we extend the above result with modulus w2r~(f,t)oo (0 \_ A < 1) which unified classical mo
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