Abstract
In this paper, we obtain two-sided estimates with sharp constants of the sums of sine series with a convex sequence of coefficients tending to zero.
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Popov, A.Y. Estimates of the Sums of Sine Series with Monotone Coefficients of Certain Classes. Mathematical Notes 74, 829–840 (2003). https://doi.org/10.1023/B:MATN.0000009019.66625.fb
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DOI: https://doi.org/10.1023/B:MATN.0000009019.66625.fb