The Marcinkiewicz-type discretization theorems
Numerical Analysis
2017-03-13 v1
Abstract
The paper is devoted to discretization of integral norms of functions from a given finite dimensional subspace. This problem is very important in applications but there is no systematic study of it. We present here a new technique, which works well for discretization of the integral norm. It is a combination of probabilistic technique, based on chaining, with results on the entropy numbers in the uniform norm.
Cite
@article{arxiv.1703.03743,
title = {The Marcinkiewicz-type discretization theorems},
author = {V. N. Temlyakov},
journal= {arXiv preprint arXiv:1703.03743},
year = {2017}
}