Approximation by de la Vallée-Poussin operators on the classes of functions locally summable on the real axis

  • V. I. Rukasov
  • S. O. Chaichenko Слов'ян. пед. ун-т

Abstract

For the least upper bounds of deviations of the de la Vallée-Poussin operators on the classes $\widehat{L}^{\psi}_{\beta}$ of rapidly vanishing functions $ψ$ in the metric of the spaces $\widehat{L}_p,\; 1 ≤ p ≤ ∞$, we establish upper estimates that are exact on some subsets of functions from $\widehat{L}_p$.
Published
25.07.2010
How to Cite
RukasovV. I., and ChaichenkoS. O. “Approximation by De La Vallée-Poussin Operators on the Classes of Functions Locally Summable on the Real Axis”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 62, no. 7, July 2010, pp. 968–978, https://umj.imath.kiev.ua/index.php/umj/article/view/2929.
Section
Research articles