Functions with general monotone Fourier coefficients
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Publication:5068116
DOI10.1070/RM10003zbMath1496.42002OpenAlexW4206566611MaRDI QIDQ5068116
M. I. D'yachenko, Sergey Yu. Tikhonov, Alexander S. Belov
Publication date: 5 April 2022
Published in: Russian Mathematical Surveys (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1070/rm10003
Sobolev spacesmoduli of smoothnessBesovLebesgueLorentzestimates of Fourier coefficientsfunctions with general monotone Fourier coefficients
Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Trigonometric approximation (42A10) Convergence and absolute convergence of Fourier and trigonometric series (42A20) 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)
Uniform convergence of sine series with fractional-monotone coefficients ⋮ Fourier transforms and fractional Lipschitz and Nikol'skii classes in uniform metric ⋮ Asymptotics of sums of sine series with fractional monotonicity coefficients ⋮ Unnamed Item
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