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

  • 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 \(\hat C^{\bar \psi } \mathfrak{N}\).
Published
25.03.2005
How to Cite
RukasovV. I., and SilinE. S. “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.
Section
Research articles