On approximation of functions from Sobolev spaces on metric graphs |
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Authors: | Michael Solomyak |
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Affiliation: | Department of Mathematics, Weizmann Institute 76100, Rehovot, Israel |
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Abstract: | Some results on the approximation of functions from the Sobolev spaces on metric graphs by step functions are obtained. In particular, we show that the approximation numbers an of the embedding operator of the Sobolev space on a graph G of finite length |G| into the space , where μ is an arbitrary finite Borel measure on G, satisfy the inequality |
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Keywords: | |
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