Sampling, Marcinkiewicz-Zygmund Inequalities, Approximation, and Quadrature Rules
Numerical Analysis
2023-04-18 v1 Numerical Analysis
Functional Analysis
Abstract
Given a sequence of Marcinkiewicz-Zygmund inequalities in , we derive approximation theorems and quadrature rules. The derivation is completely elementary and requires only the definition of Marcinkiewicz-Zygmund inequality, Sobolev spaces, and the solution of least square problems.
Keywords
Cite
@article{arxiv.1909.07752,
title = {Sampling, Marcinkiewicz-Zygmund Inequalities, Approximation, and Quadrature Rules},
author = {Karlheinz Gröchenig},
journal= {arXiv preprint arXiv:1909.07752},
year = {2023}
}