Approximation of measurable periodic functions in measure by step functions

Authors

  • 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

Issue

Section

Short communications

How to Cite

Pichugov, S. 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.