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On approximation of functions from Sobolev spaces on metric graphs

Michael Solomyak
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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.

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Michael Solomyak. 2002-06-23. On approximation of functions from Sobolev spaces on metric graphs. https://arxiv.org/abs/math/0206235

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