Uniform convergence of sine series with fractional-monotone coefficients

DOI10.1134/S000143462309002XzbMath1528.42008OpenAlexW4387902299MaRDI QIDQ6084891

M. I. D'yachenko

Publication date: 7 November 2023

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

Full work available at URL: https://doi.org/10.1134/s000143462309002x

zbMATH Keywords

uniform convergencetrigonometric seriesCesaro numbers

Mathematics Subject Classification ID

Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16) Summability and absolute summability of Fourier and trigonometric series (42A24)

Cites Work

• Unnamed Item
• Some properties of lacunary series and the integrability of trigonometric series
• Refinement of estimates of sums of sine series with monotone coefficients and cosine series with convex coefficients
• Optimal two-sided estimates on the interval \([\pi/2,\pi\) of the sum of the sine series with convex coefficient sequence]
• On the uniform convergence of trigonometric series
• On the positivity of average sums of sine series with monotone coefficients
• Functions with general monotone Fourier coefficients
• \( \alpha\)-monotone sequences and the Lorentz theorem

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