Estimates of orthoprojection widths of classes $B^{\Omega}_{p,\theta}$ of periodic functions of several variables with given majorant of 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 $B^{\Omega}_{p,\theta}$ of periodic functions of several variables in the space $L_q$ by using operators of orthogonal projection as well as linear operators subjected to some conditions

Published

2014-06-24

How to Cite

Konograi, A. F., & Fedunyk-Yaremchuk, O. V. (2014). Estimates of orthoprojection widths of classes $B^{\Omega}_{p,\theta}$ of periodic functions of several variables with given majorant of mixed moduli of continuity. Transactions of Institute of Mathematics, the NAS of Ukraine, 11(3), 146–165. Retrieved from https://trim.imath.kiev.ua/index.php/trim/article/view/72