๐”– Bobbio Scriptorium
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Best linear and nonlinear approximations for smooth functions

โœ Scribed by B. E. Klots


Publisher
Springer US
Year
1978
Tongue
English
Weight
542 KB
Volume
12
Category
Article
ISSN
0016-2663

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๐Ÿ“œ SIMILAR VOLUMES


Best Approximation by Periodic Smooth Fu
โœ J.A. Oram; V. Davydov ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 575 KB

Let W n be the set of 2?-periodic functions with absolutely continuous (n&1)th derivatives and nth derivatives with essential suprema bounded by one. Let n>1. Best uniform approximations to a periodic continuous function from W n are characterized. The result depends upon an analysis of the relatio

Moduli of smoothness and best approximat
โœ M. Ganzburg ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 621 KB

Error estimates for approximation of functions ~ox,a,0 (x) = ~x,~,l (x) + i~ox,a,2 (X) = [x[)~exp (iA[x[-ยฐ'), A > 0, a :> 0, A e R are given. Let E(f,B, Lp(f~)) denote the error of approximation of f by elements from B in the Lp-metric. Then, it is shown that for polynomial approximation E(~,a,l,Pr,