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Estimates of the sums of sine series with monotone coefficients of certain classes. (English. Russian original) Zbl 1156.42303

Math. Notes 74, No. 6, 829-840 (2003); translation from Mat. Zametki 74, No. 6, 877-888 (2003).
Summary: We obtain two-sided estimates with sharp constants of the sums of sine series with a convex sequence of coefficients tending to zero.

MSC:

42A16 Fourier coefficients, Fourier series of functions with special properties, special Fourier series
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