Approximation of measurable periodic functions in measure by step functions

  • S. A. Pichugov Днепропетр. нац. ун-т ж.-д. трансп.

Abstract

For spaces defined by a function $ϕ$ of the type of modulus of continuity, we prove direct and inverse Jackson theorems for the approximation by step functions with uniform partition.
Published
25.05.1996
How to Cite
PichugovS. A. “Approximation of Measurable Periodic Functions in Measure by Step Functions”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 48, no. 5, May 1996, pp. 711-5, https://umj.imath.kiev.ua/index.php/umj/article/view/5305.
Section
Short communications