Fourier series of functions with a non-summable derivative

DOI10.1070/IM2009V073N02ABEH002447zbMath1168.41002OpenAlexW2083954329MaRDI QIDQ3626985

S. F. Lukomskii

Publication date: 14 May 2009

Published in: Izvestiya: Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/im2009v073n02abeh002447

zbMATH Keywords

convergenceFourier seriesLorentz spaceslocal modulus of continuity

Mathematics Subject Classification ID

General theory of numerical analysis in abstract spaces (65J05) Numerical methods for integral equations (65R20) Trigonometric interpolation (42A15) Sequence spaces (including Köthe sequence spaces) (46A45) Rate of convergence, degree of approximation (41A25) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Approximate quadratures (41A55) Numerical methods for trigonometric approximation and interpolation (65T40) Normed linear spaces and Banach spaces; Banach lattices (46Bxx)

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