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Article information
2004 , Volume 9, Special issue, p.21-30
Belykh V.N.
On estimations of epsilon -entropy of compacts of infinitely differentiable functions on a segment
The phenomenon of unsaturation (according to Babenko) for numerical methods is explained. New estimations for -entropy of classes of -smooth functions on a closed finite segment are given.
Classificator Msc2000:- *26E10 $C^\infty$-functions, quasi-analytic functions
- 46E10 Topological linear spaces of continuous, differentiable or analytic functions
- 41A40 Saturation
- 41A46 Approximation by arbitrary nonlinear expressions; widths and entropy
Keywords: Chebyshev approximation problem, Gevrey class, Frechet space, Arzel`a theorem
Author(s):
Belykh V.N.
Dr. , Professor
Position: Leading research officer
Address: 630090, Russia, Novosibirsk
Phone Office: (3832) 333 887
E-mail: belykh@math.nsc.ru
Bibliography link:
Belykh V.N. On estimations of epsilon -entropy of compacts of infinitely differentiable functions on a segment // Computational technologies. 2004. V. 9. Special issue. Selected papers presented at VII International workshop “Cubature formulae and their applications”. Krasnoyarsk, August 2003. P. 21-30
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