Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 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
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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.
Received: 28.12.2018
English version:
Moscow University Mathematics Bulletin, 2021, Volume 76, Issue 4, Pages 145–153
DOI: https://doi.org/10.3103/S0027132221040082
Bibliographic databases:
Document Type: Article
UDC: 517.518
Language: Russian
Citation: N. A. Zhukovskii, “A new estimate of double Fourier coefficients for functions of bounded generalized variation”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2021, no. 4, 3–10; Moscow University Mathematics Bulletin, 76:4 (2021), 145–153
Citation in format AMSBIB
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