Please use this identifier to cite or link to this item: https://dspace.megu.edu.ua:8443/jspui/handle/123456789/3699
Title: QS1 POLYNOMIALS
Authors: Янчук, П. С.
Janchuk, P.
Keywords: quasispectral polynomials
Fourier series
spectral methods
approximation methods
Sobolev spaces
orthogonal polynomials
classical polynomials
Issue Date: 2022
Publisher: Boston, USA, BoScience Publisher: Progressive research in the modern world. Proceedings of the 4th International scientific and practical conference
Citation: Janchuk P. QS1 polynomials // Progressive research in the modern world. Proceedings of the 4th International scientific and practical conference / P. Janchuk. - Boston, USA: BoScience Publisher, 2022. - Pp. 278-287.
Abstract: The author earlier developed new classes of quasi-spectral polynomials, and the study presents new findings about these classes for the efficient resolution of mathematical physics problems. By examining the approximation behavior of Fourier series by systems of quasispectral polynomials and the accompanying order of approximation, we explore the potential for retrieving information about functions that are solutions of boundary value problems. This work proves that the function, which in practice is the Sobolev space solution of the boundary value problem, can be reconstructed with the same accuracy in the base space of all square summable functions as it could be reconstructed if it were explicitly given.
URI: https://dspace.megu.edu.ua:8443/jspui/handle/123456789/3699
Appears in Collections:Наукові роботи кафедри інформаційних систем та обчислювальних методів

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