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JOURNALS // 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


 English version:
Moscow University Mathematics Bulletin, Moscow University Måchanics Bulletin, 2021, 76:4, 145–153

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© Steklov Math. Inst. of RAS, 2024