title: Approximation by polynomials composed of Weierstrass doubly periodic functions
metadata.name: dc.contributor.author
metadata.value: Sintsova, Ksenia А.
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Shirokov, Nikolay A.
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2023-03-14T19:34:22Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2023-03-14T19:34:22Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2022-03
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: Sintsova K.A., Shirokov N.A. Approximation by polynomials composed of Weierstrass doubly periodic functions. Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 2023, vol. 10 (68), issue 1, pp. 61–72. https://doi.org/10.21638/spbu01.2023.106 (In Russian)
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: https://doi.org/10.21638/spbu01.2023.106
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/39326
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: The problem of describing classes of functions in terms of the rate of approximation of these functions by polynomials, rational functions, splines entered in the theory of approximation more than 100 years ago and still retains its relevance. Among a large number of problems related to approximation, we considered the problem of polynomial approximation in two variables of a function defined on the continuum of an elliptic curve in C2 and holomorphic in its interior. The formulation of such a question led to the need to study the approximation of a function that is continuous on the continuum of the complex plane and analytic in its interior, using polynomials in doubly periodic Weierstrass functions and their derivatives. This work is devoted to the development of this topic.
metadata.lang: en_GB
metadata.name: dc.description.sponsorship
metadata.value: This work was supported by the Russian Foundation for Basic Research (project no. 20-01-00209).
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 (68); Issue 1
metadata.lang: -
metadata.name: dc.subject
metadata.value: analytic functions
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: approximation
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: doubly periodic Weierstrass functions
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: Approximation by polynomials composed of Weierstrass doubly periodic functions
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 15494-Текст статьи-51845-1-2-20230304.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/39326/1/15494-%d0%a2%d0%b5%d0%ba%d1%81%d1%82%20%d1%81%d1%82%d0%b0%d1%82%d1%8c%d0%b8-51845-1-2-20230304.pdf
resources.format: Adobe PDF
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