Estimates of approximative characteristics of the classes \( {B}_{p,\theta}^{\Omega} \) of periodic functions of many variables with given majorant of mixed continuity moduli in the space L∞
- Authors: Fedunyk-Yaremchuk O.V.1, Solich K.V.1
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Affiliations:
- L. Ukrainka East-European National University
- Issue: Vol 231, No 1 (2018)
- Pages: 28-40
- Section: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/241069
- DOI: https://doi.org/10.1007/s10958-018-3803-3
- ID: 241069
Cite item
Abstract
We obtain exact-order estimates of the approximation of the classes \( {B}_{p,\theta}^{\Omega} \) of periodic functions of several variables in the space L∞, by using operators of orthogonal projection, as well as linear operators subjected to some conditions.
About the authors
O. V. Fedunyk-Yaremchuk
L. Ukrainka East-European National University
Author for correspondence.
Email: fedunyk@ukr.net
Ukraine, Lutsk
K. V. Solich
L. Ukrainka East-European National University
Email: fedunyk@ukr.net
Ukraine, Lutsk