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http://hdl.handle.net/11701/33259
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Поле DC | Значение | Язык |
---|---|---|
dc.contributor.author | Pavlov, Dmitriy A. | - |
dc.date.accessioned | 2021-10-07T11:56:35Z | - |
dc.date.available | 2021-10-07T11:56:35Z | - |
dc.date.issued | 2021-09 | - |
dc.identifier.citation | Pavlov D.А. Constructive description of Hölder classes on some multidimensional compact sets. Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 2021, vol. 8 (66), issue 3, pp. 430–441. | en_GB |
dc.identifier.other | https://doi.org/10.21638/spbu01.2021.305 | - |
dc.identifier.uri | http://hdl.handle.net/11701/33259 | - |
dc.description.abstract | We give a constructive description of Hölder classes of functions on certain compacts in Rm (m > 3) in terms of a rate of approximation by harmonic functions in shrinking neighborhoods of these compacts. The considered compacts are a generalization to the higher dimensions of compacts that are subsets of a chord-arc curve in R3. The size of the neighborhood is directly related to the rate of approximation it shrinks when the approximation becomes more accurate. In addition to being harmonic in the neighborhood of the compact the approximation functions have a property that looks similar to Hölder condition. It consists in the fact that the difference in values at two points is estimated in terms of the size of the neighborhood, if the distance between these points is commensurate with the size of the neighborhood (and therefore it is estimated in terms of the distance between the points). | en_GB |
dc.language.iso | ru | en_GB |
dc.publisher | St Petersburg State University | en_GB |
dc.relation.ispartofseries | Vestnik of St Petersburg University. Mathematics. Mechanics. Astronomy;Volume 8 (66); Issue 3 | - |
dc.subject | constructive description | en_GB |
dc.subject | Hölder classes | en_GB |
dc.subject | approximation | en_GB |
dc.subject | harmonic functions | en_GB |
dc.subject | chord-arc curves | en_GB |
dc.title | Constructive description of Hölder classes on some multidimensional compact sets | en_GB |
dc.type | Article | en_GB |
Располагается в коллекциях: | Issue 3 |
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Файл | Описание | Размер | Формат | |
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430-441.pdf | 335,35 kB | Adobe PDF | Просмотреть/Открыть |
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