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- Title
Approximation of Continuous Functions of Low Smoothness by de la Vallee-Poussin Operators.
- Authors
Rukasov, V. I.; Silin, E. S.
- Abstract
We study some problems of the approximation of continuous functions defined on the real axis. As approximating aggregates, the de la Vallee-Poussin operators are used. We establish asymptotic equalities for upper bounds of the deviations of the de la Vallee-Poussin operators from functions of low smoothness belonging to the classes $$\hat C^{\bar \psi } \mathfrak{N}$$ .
- Subjects
APPROXIMATION theory; MATHEMATICAL functions; DIFFERENTIAL equations; MATHEMATICAL analysis; DIFFERENTIAL operators; MATHEMATICS
- Publication
Ukrainian Mathematical Journal, 2005, Vol 57, Issue 3, p474
- ISSN
0041-5995
- Publication type
Article
- DOI
10.1007/s11253-005-0204-9