title: Lp-norm approximation of Hölder functions by harmonic functions on some multidimensional compact sets
metadata.name: dc.contributor.author
metadata.value: Pavlov, Dmitriy A.
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2023-05-18T21:58:46Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2023-05-18T21:58:46Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2023-05
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: Pavlov D.А. Lp-norm approximation of Hölder functions by harmonic functions on some multidimensional compact sets. Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 2023, vol. 10 (68), issue 2, pp. 259–269. https://doi.org/10.21638/spbu01.2023.207 (In Russian)
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: https://doi.org/10.21638/spbu01.2023.207
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/41483
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: In this paper we consider the class of Hölder functions in the sense of Lp norm on certain
  compacts in Rm (m   3) and prove theorems on approximation by functions harmonic in
  neighborhoods of these compacrs. These compacts are a generalization to the higher dimensions
  of the concept of chord-arc curve in R3. The size of the neighborhood decreases along
  with an increase in the accuracy of the approximation. Estimates of the approximation rate
  and the gradient of the approximation functions are made in the same Lp-norm.
metadata.lang: en_GB
metadata.name: dc.language.iso
metadata.value: ru
metadata.lang: en_GB
metadata.name: dc.publisher
metadata.value: St Petersburg State University
metadata.lang: en_GB
metadata.name: dc.relation.ispartofseries
metadata.value: Vestnik of St Petersburg University. Mathematics. Mechanics. Astronomy;Volume 10; Issue 2
metadata.lang: -
metadata.name: dc.subject
metadata.value: constructive description
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: Hölder classes
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: approximation
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: harmonic functions
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: chord-arc curves
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: Lp-norm approximation of Hölder functions by harmonic functions on some multidimensional compact sets
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 259-269.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/41483/1/259-269.pdf
resources.format: Adobe PDF
resources.size: 327,78 kB