On approximation of functions from Sobolev spaces on metric graphs

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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.
19 pages, 0 figures

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Classical Analysis and ODEs, Primary 46E39; Secondary 41A45, 41A46

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http://salesiana.dossiersoluciones.com/handle/123456789/64370

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0206235
 http://arxiv.org/abs/math/0206235

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arXiv