The Nonlocal Nature of the Summability of Fourier Series by Certain Absolute Riesz Methods

DOI10.2307/2159786zbMath0753.42006OpenAlexW4245949578MaRDI QIDQ3987963

David Borwein

Publication date: 28 June 1992

Full work available at URL: https://doi.org/10.2307/2159786

zbMATH Keywords

absolute summabilityFourier serieslocal propertyabsolute Riesz method

Mathematics Subject Classification ID

Convergence and absolute convergence of Fourier and trigonometric series (42A20)

Related Items (7)

A study on local properties of Fourier series ⋮ On the local property of factored Fourier series ⋮ Unnamed Item ⋮ Monotonicity of certain left and right Riemann sums ⋮ On the local properties of factored Fourier series ⋮ Localization property on absolute matrix summability factors of Fourier series ⋮ Local properties of absolute matrix summability of factored fourier series

Cites Work

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• Local property of the summability \(| R, \lambda_n, 1 |\)
• The Absolute Convergence of Series of Integrals
• On the Summability |R , logw , I| of a Fourier Series
• On the Absolute Riesz Summability of Fourier Series and Allied Series

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