On approximation of functions from Sobolev spaces on metric graphs

Details On approximation of functions from Sobolev spaces on metric graphs On approximation of functions from Sobolev spaces on metric graphs

2002-06-23

arxiv.org/abs/math/0206235v1

Mathematics

Classical Analysis and ODEs

19 pages, 0 figures

Scientific paper

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.

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