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

• Date: 2005
• Main Authors: Rukasov, V. I., Silin, E. S., Рукасов, В. И., Силин, Е. С.
• Format: Article
• Language: Russian; English
• Published: Institute of Mathematics, NAS of Ukraine 2005
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/3607
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

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 sm...