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Rational approximation and smoothness of functions

โœ Scribed by V. V. Peller


Publisher
Springer US
Year
1987
Tongue
English
Weight
498 KB
Volume
36
Category
Article
ISSN
1573-8795

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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,