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// Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
// Archive
Vestnik Moskov. Univ. Ser. 1. Mat. Mekh.,
2021
Number 4,
Pages
3–10
(Mi vmumm4409)
Mathematics
A new estimate of double Fourier coefficients for functions of bounded generalized variation
N. A. Zhukovskii
Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Abstract:
Classes of functions of two variables having generalized bounded variation in the sense of symmetric spaces of sequences and matrices are considered. Estimates of Fourier coefficients are obtained for functions from these classes.
Key words:
double Fourier series, Fourier coefficients, generalized variation.
UDC:
517.518
Received:
28.12.2018
Fulltext:
PDF file (700 kB)
References
English version:
Moscow University Mathematics Bulletin, Moscow University Måchanics Bulletin, 2021,
76
:4,
145–153
Bibliographic databases:
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Steklov Math. Inst. of RAS
, 2024