On optimization of cubature formulae for Sobolev classes of functions defined on star domains
Functional Analysis
2024-04-02 v1
Abstract
We find asymptotically optimal methods of recovery of the integration operator given values of the function at a finite number of points for a class of multivariate functions defined on a bounded star domain that have bounded in norm of their distributional gradient; thus we generalize the known solution of this optimization problem in the case, when the domain of definition of the functions is convex.
Keywords
Cite
@article{arxiv.2308.03154,
title = {On optimization of cubature formulae for Sobolev classes of functions defined on star domains},
author = {Oleg Kovalenko},
journal= {arXiv preprint arXiv:2308.03154},
year = {2024}
}