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JOURNALS // Matematicheskie Zametki // Archive
Mat. Zametki, 2021 Volume 109, Issue 5, Pages 768–780 (Mi mzm12928)
This article is cited in 9 papers

Refinement of Estimates of Sums of Sine Series with Monotone Coefficients and Cosine Series with Convex Coefficients

A. Yu. Popov

Moscow Center for Fundamental and Applied Mathematics

Abstract: The paper refines the currently known estimates of sums of sine series with monotone coefficients, as well as the upper bound for the sum of the cosine series with convex coefficients.

Keywords: sine series, cosine series, monotone coefficients.

UDC: 517.518.4

Received: 14.10.2020
Revised: 27.12.2020

DOI: 10.4213/mzm12928


 English version: Mathematical Notes, 2021, 109:5, 808–818

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© Steklov Math. Inst. of RAS, 2025