Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2023, Number 4, Pages 15–22
DOI: https://doi.org/10.55959/MSU0579-9368-1-64-4-3 (Mi vmumm4549) 		 
Mathematics

Orthorecursive expansion with respect to modified Faber–Schauder system

P. S. Stepanyantsa, A. K. Paunovb

a Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
b WorldQuant
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DOI: https://doi.org/10.55959/MSU0579-9368-1-64-4-3
Abstract: We consider orthorecursive expansions with respect to modified Faber–Schauder System and demonstrate their uniform convergence to expanded functions in C-space and convergence in Lebesgue spaces.
Key words: orthorecursive expansion, convergence, Faber–Schauder System, system of translates and dilates.
Received: 03.02.2023
English version:
Moscow University Mathematics Bulletin, 2023, Volume 78, Issue 4, Pages 170–178
DOI: https://doi.org/10.3103/S0027132223040095
Bibliographic databases:
Document Type: Article
UDC: 517.518+517.982
Language: Russian
Citation: P. S. Stepanyants, A. K. Paunov, “Orthorecursive expansion with respect to modified Faber–Schauder system”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2023, no. 4, 15–22; Moscow University Mathematics Bulletin, 78:4 (2023), 170–178
Citation in format AMSBIB
\Bibitem{StePau23}
\by P.~S.~Stepanyants, A.~K.~Paunov
\paper Orthorecursive expansion with respect to modified Faber--Schauder system
\jour Vestnik Moskov. Univ. Ser.~1. Mat. Mekh.
\yr 2023
\issue 4
\pages 15--22
\mathnet{http://mi.mathnet.ru/vmumm4549}
\crossref{https://doi.org/10.55959/MSU0579-9368-1-64-4-3}
\elib{https://elibrary.ru/item.asp?id=54354435}
\transl
\jour Moscow University Mathematics Bulletin
\yr 2023
\vol 78
\issue 4
\pages 170--178
\crossref{https://doi.org/10.3103/S0027132223040095}
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