title: Approximation by entire functions on a countable union of segments on the real axis. 4. Inverse theorem
metadata.name: dc.contributor.author
metadata.value: Silvanovich, Olga V.
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Shirokov, Nikolai A.
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2018-09-18T11:43:28Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2018-09-18T11:43:28Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2018-09
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: Silvanovich O.V., Shirokov N.A. Approximation by entire functions on a countable union of segments on the real axis. 4. Inverse theorem. Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 2018, vol. 5 (63), issue 3, pp. 441–451.
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: 10.21638/11701/spbu01.2018.308
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/14887
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: A problem of a constructive description of functional classes in terms of a possible rate of
  approximation of its functions by means of functions chosen from a certain set is one of the
  leading problem of approximation theory for more than a century. It turned out that the
  non-uniformity of a rate of approximation due to the point of a set where a functional class
  is defined is a rather usual circumstance of those description. One of the possible test for
  approximation is a question whether the rate of it permits to recognise the functional class
  under consideration. We have investigated approximation of classes of smooth functions on
  a countable union segments on the real axis by means of entire functions of exponential
  type. The present paper is devoted to a proof of the so-called inverse theorem, i. e. to the
  finding out a scale of smoothness of functions with the help of a rate of its approximation
  by entire functions.
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 5(63); Issue 3
metadata.lang: -
metadata.name: dc.subject
metadata.value: smooth functions
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: entire functions
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: approximation
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: Approximation by entire functions on a countable union of segments on the real axis. 4. Inverse theorem
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 08-Silvanovich.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/14887/1/08-Silvanovich.pdf
resources.format: Adobe PDF
resources.size: 314,02 kB