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Universal Taylor and trigonometric series in the sense of Menchoff

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Publication:1591465
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DOI10.1016/S0021-7824(00)00175-6zbMath1028.42006OpenAlexW2002710602MaRDI QIDQ1591465

Vassilis Nestoridis, Jean-Pierre Kahane

Publication date: 15 January 2004

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0021-7824(00)00175-6


zbMATH Keywords

polynomial approximationTaylor seriesuniversal trigonometric series


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) Boundary behavior of power series in one complex variable; over-convergence (30B30)


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Lineability of universal divergence of Fourier series ⋮ Universality and summability of trigonometric polynomials and trigonometric series ⋮ Universal Taylor series on arbitrary planar domains ⋮ Pointwise universal trigonometric series ⋮ Abstract theory of universal series and an application to Dirichlet series



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