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

Authors

  • V. I. Rukasov
  • E. S. Silin

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 ˆCˉψN.

Published

25.03.2005

Issue

Section

Research articles

How to Cite

Rukasov, V. I., and E. S. Silin. “Approximation of Continuous Functions of Low Smoothness by De La Vallee-Poussin Operators”. Ukrains’kyi Matematychnyi Zhurnal, vol. 57, no. 3, Mar. 2005, pp. 394–399, https://umj.imath.kiev.ua/index.php/umj/article/view/3607.