Ferenc Lukács type theorems in terms of the Abel-Poisson mean of conjugate series

DOI10.1090/S0002-9939-02-06669-8zbMath1031.42002OpenAlexW1483740778MaRDI QIDQ4787511

Ferenc Móricz

Publication date: 7 January 2003

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-02-06669-8

zbMATH Keywords

conjugate seriesFourier seriesfunction of bounded variationinduced Borel measureAbel-Poisson means

Mathematics Subject Classification ID

Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16) Conjugate functions, conjugate series, singular integrals (42A50)

Related Items (12)

An affirmative result of the open question on determining function jumps by spline wavelets ⋮ On the point behavior of Fourier series and conjugate series ⋮ Determination of jumps in terms of linear operators ⋮ Applications of conjugate operators to determination of jumps for functions ⋮ Concentration factors for functions with harmonic bounded mean variation ⋮ On the jump behavior of distributions and logarithmic averages ⋮ On determination of jumps in terms of Abel-Poisson mean of Fourier series ⋮ Determination of jumps in terms of derivative convolution operators ⋮ On determination of jumps in terms of the Abel-Poisson mean of Fourier series. II ⋮ On the order of summability of the Fourier inversion formula ⋮ Determination of jumps via advanced concentration factors ⋮ Determination of jumps of distributions by differentiated means

Cites Work

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• Smooth functions

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