Asymptotics of sums of cosine series with fractional monotonicity coefficients

DOI10.1134/S0001434621110250zbMath1480.42006OpenAlexW4200392308MaRDI QIDQ2063680

M. I. D'yachenko

Publication date: 11 January 2022

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

Full work available at URL: https://doi.org/10.1134/s0001434621110250

zbMATH Keywords

asymptoticsFourier seriesmonotone coefficients

Mathematics Subject Classification ID

Cesàro, Euler, Nörlund and Hausdorff methods (40G05) Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16) Trigonometric series of special types (positive coefficients, monotonic coefficients, etc.) (42A32)

Related Items (4)

On a method for solving a mixed boundary value problem for a parabolic equation using modified sinc-approximation operators ⋮ \( \alpha\)-monotone sequences and the Lorentz theorem ⋮ Asymptotics of sums of sine series with fractional monotonicity coefficients ⋮ A summation method for trigonometric Fourier series based on sinc-approximations

Cites Work

• Estimates with sharp constants of the sums of sine series with monotone coefficients of certain classes in terms of the Salem majorant
• Refinement of estimates of sums of sine series with monotone coefficients and cosine series with convex coefficients
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