On approximation of functions from Sobolev spaces on metric graphs
Classical Analysis and ODEs
2007-05-23 v1
Abstract
Some results on the approximation of functions from the Sobolev spaces on metric graphs by step functions are obtained. The estimates are uniform with respect to all graphs of a given finite length, and the constant factors in the inequalities are sharp.
Cite
@article{arxiv.math/0206235,
title = {On approximation of functions from Sobolev spaces on metric graphs},
author = {Michael Solomyak},
journal= {arXiv preprint arXiv:math/0206235},
year = {2007}
}
Comments
19 pages, 0 figures