Approximation by sampling-type operators in $L_p$-spaces
Classical Analysis and ODEs
2020-01-27 v1 Numerical Analysis
Numerical Analysis
Abstract
Approximation properties of the sampling-type quasi-projection operators for functions from anisotropic Besov spaces are studied. Error estimates in -norm are obtained for a large class of tempered distributions and a large class of functions under the assumptions that has enough decay, satisfies the Strang-Fix conditions and a compatibility condition with . The estimates are given in terms of moduli of smoothness and best approximations.
Cite
@article{arxiv.2001.08796,
title = {Approximation by sampling-type operators in $L_p$-spaces},
author = {Yurii Kolomoitsev and Maria Skopina},
journal= {arXiv preprint arXiv:2001.08796},
year = {2020}
}