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Fourier Coefficients of Functions from Many-Dimensional Classes of Bounded Λ-Variation / Bakhvalov A.N. // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika. 2011. № 1. P. 10-18 [Moscow Univ. Math. Bulletin. Vol. 66, No 1, 2011. P. 8-16]. Estimates of trigonometric Fourier coefficients are obtained for functions from the classes of bounded many-dimensional Λ-variation and functions continuous in Λ-variation. In some cases it is proved that these estimates are unimprovable by the order.
Key words: generalized variation, continuity in variation, Fourier coefficients.
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