2019
Том 71
№ 1

# Approximation of Continuous Functions of Low Smoothness by de la Vallee-Poussin Operators

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 $\hat C^{\bar \psi } \mathfrak{N}$.

English version (Springer): Ukrainian Mathematical Journal 57 (2005), no. 3, pp 474-480.

Citation Example: Rukasov V. I., Silin E. S. Approximation of Continuous Functions of Low Smoothness by de la Vallee-Poussin Operators // Ukr. Mat. Zh. - 2005. - 57, № 3. - pp. 394–399.

Full text