A New Estimate of Double Fourier Coefficients for Functions of Bounded Generalized Variation
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Published:2021-07
Issue:4
Volume:76
Page:145-153
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ISSN:0027-1322
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Container-title:Moscow University Mathematics Bulletin
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language:en
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Short-container-title:Moscow Univ. Math. Bull.
Subject
General Mathematics
Reference8 articles.
1. A. Zygmund, Trigonometric Series, 2nd ed. (Cambridge Univ. Press, Cambridge, 1959).
2. M. Schramm and D. Waterman, ‘‘On the magnitude of Fourier coefficients,’’ Proc. Am. Math. Soc. 85, 407–410 (1982). doi 10.1090/S0002-9939-1982-0656113-1
3. E. I. Berezhnoi, ‘‘Spaces of functions of generalized bounded variation. II: Questions of uniform convergence of Fourier series,’’ Sib. Math. J. 42, 515–532 (2001). https://doi.org/10.1023/A:1010410807215
4. F. Móricz, ‘‘Order of magnitude of double Fourier coefficients of functions of bounded variation,’’ Analysis 22, 335–345 (2002). https://doi.org/10.1524/anly.2002.22.4.335
5. V. Fülöp and F. Móricz, ‘‘Order of magnitude of multiple Fourier coefficients of functions of bounded variation,’’ Acta Math. Hung. 104, 95–104 (2004). https://doi.org/10.1023/B:AMHU.0000034364.78876.af