Optimal two-sided estimates on the interval \([\pi/2,\pi]\) of the sum of the sine series with convex coefficient sequence

DOI10.1134/S0001434622070380OpenAlexW4293795001MaRDI QIDQ2170530

Anton Yu. Popov, Alexei P. Solodov

Publication date: 6 September 2022

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434622070380

zbMATH Keywords

asymptotic behaviormonotone coefficientssine seriesconvex coefficients

Mathematics Subject Classification ID

Summability and absolute summability of Fourier and trigonometric series (42A24)

Related Items (2)

Uniform convergence of sine series with fractional-monotone coefficients ⋮ Counterexamples to the Hardy-Littlewood theorem for generalized monotone sequences

Cites Work

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• Estimates of the sums of sine series with monotone coefficients of certain classes
• Refinement of estimates of sums of sine series with monotone coefficients and cosine series with convex coefficients
• Sharp two-sided estimate for the sum of a sine series with convex slowly varying sequence of coefficients

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