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Strong converse inequality for left Bernstein quasi-interpolants

✍ Scribed by Shunsheng Guo; Gengsheng Zhang; Guofen Liu


Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
506 KB
Volume
22
Category
Article
ISSN
0893-9659

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✦ Synopsis


For the Bernstein left quasi-interpolants B (2r-1) n f , we prove that for some k

This is a strong converse inequality of type B.


πŸ“œ SIMILAR VOLUMES


Generalization of the Left Bernstein Qua
✍ Yasuo Kageyama πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 345 KB

P. SablonnieÁ re introduced the so-called left Bernstein quasi-interpolant, and proved that the sequence of the approximating polynomials converges pointwise in high-order rate to each sufficiently smooth approximated function. On the other hand, Z.-C. Wu proved that the sequence of the norms of the