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Pointwise approximation by Baskakov quasi-interpolants

โœ Scribed by Shunsheng Guo; Qiulan Qi; Lixia Liu

Publisher
Elsevier Science
Year
2005
Tongue
English
Weight
377 KB
Volume
49
Category
Article
ISSN
0898-1221

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โœฆ Synopsis

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 modulus and Ditzian-Totik modulus.

๐Ÿ“œ SIMILAR VOLUMES

Simultaneous Approximation and Quasi-Int
Simultaneous Approximation and Quasi-Interpolants
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