Smoothness and asymptotic properties of functions with general monotone Fourier coefficients

DOI10.1007/S00041-017-9553-7zbMath1412.42005OpenAlexW2650283078MaRDI QIDQ667665

M. I. D'yachenko, Sergey Yu. Tikhonov

Publication date: 1 March 2019

Published in: The Journal of Fourier Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00041-017-9553-7

zbMATH Keywords

Fourier coefficientsgeneral and weak monotonicityLebesgue- and Lorentz-type estimatesSalem-Hardy-type asymptotic results

Mathematics Subject Classification ID

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 (12)

Unnamed Item ⋮ Functions with general monotone Fourier coefficients ⋮ Multiple sine series and Nikol'skii classes in uniform metric ⋮ Piecewise general monotone functions and the Hardy-Littlewood theorem ⋮ Asymptotics of sums of sine series with fractional monotonicity coefficients ⋮ Unnamed Item ⋮ Sharp two-sided estimate for the sum of a sine series with convex slowly varying sequence of coefficients ⋮ The sets of positivity of sine series with monotone coefficients ⋮ Lebesgue constants of Riesz type means of negative order ⋮ Smoothness of functions and Fourier coefficients ⋮ Functions preserving general monotone sequence ⋮ The Boas problem on Hankel transforms

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