Quasi-projection operators in the weighted $L_p$ spaces
Classical Analysis and ODEs
2020-03-26 v2
Abstract
Approximation properties of multivariate quasi-projection operators are studied in the paper. Wide classes of such operators are considered, including the sampling and the Kantorovich-Kotelnikov type operators generated by different band-limited functions.The rate of convergence in the weighted -spaces for these operators is investigated. The results allow to estimate the error for reconstruction of signals (approximated functions) whose decay is not enough to be in .
Keywords
Cite
@article{arxiv.1805.10536,
title = {Quasi-projection operators in the weighted $L_p$ spaces},
author = {Yurii Kolomoitsev and Maria Skopina},
journal= {arXiv preprint arXiv:1805.10536},
year = {2020}
}