Estimates of the orthogonal widths of the classes BΩ,θ of periodic functions of many variables with given majorant of the mixed moduli of continuity

Authors

  • A. F. Konograi Institute of Mathematics of NAS of Ukraine
  • O. V. Fedunyk-Yaremchuk Lesya Ukrainka Eastern European National University

Abstract

We obtain exact order estimates of approximation of classes BΩ,θ of periodic functions of several variables in the space Lq by using operators of orthogonal projection as well as linear operators subjected to some
conditions.

Published

2015-07-14

How to Cite

Konograi, A. F., & Fedunyk-Yaremchuk, O. V. (2015). Estimates of the orthogonal widths of the classes BΩ,θ of periodic functions of many variables with given majorant of the mixed moduli of continuity. Transactions of Institute of Mathematics, the NAS of Ukraine, 12(4), 205–215. Retrieved from https://trim.imath.kiev.ua/index.php/trim/article/view/294