Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2019, Number 5, Pages 3–10 (Mi vmumm3619)  
Mathematics

Asymptotic properties of coefficients of orthorecursive expansions over indicators of dyadic intervals

I. S. Baranova

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
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Abstract: Asymptotic properties of the coefficients of orthorecursive expansion over a system of indicators of dyadic intervals associated with local properties of the expanded function are studied. Asymptotic formulas are obtained in the cases of differentiable functions and functions having a discontinuity of the first kind at the point under study.
Key words: orthorecursive expansion, dyadic intervals, asymptotics.
Received: 21.12.2018
English version:
Moscow University Mathematics Bulletin, 2019, Volume 74, Issue 5, Pages 175–181
DOI: https://doi.org/10.3103/S0027132219050012
Bibliographic databases:
Document Type: Article
UDC: 517.518.3
Language: Russian
Citation: I. S. Baranova, “Asymptotic properties of coefficients of orthorecursive expansions over indicators of dyadic intervals”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2019, no. 5, 3–10; Moscow University Mathematics Bulletin, 74:5 (2019), 175–181
Citation in format AMSBIB
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    References:22
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