A continuous Euler transformation and its application to the Fourier transform of a slowly decaying function

DOI10.1016/S0377-0427(99)00378-7zbMath1010.65056MaRDI QIDQ5937191

Takuya Ooura

Publication date: 12 July 2001

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

convergence accelerationHankel transformsfast Fourier transformBessel function integrandcontinuous Euler transformationFourier transform of a slowly decaying functionFourier-type integralslinear sequence transformation

Mathematics Subject Classification ID

Extrapolation to the limit, deferred corrections (65B05) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Numerical methods for trigonometric approximation and interpolation (65T40)

Related Items (4)

A generalization of the continuous Euler transformation and its application to numerical quadrature. ⋮ A double exponential formula for the Fourier transforms ⋮ Error control of a numerical formula for the Fourier transform by Ooura's continuous Euler transform and fractional FFT ⋮ Maximum likelihood estimation of the Fisher-Bingham distribution via efficient calculation of its normalizing constant

Cites Work

• Sequence transformations and their applications
• Unnamed Item

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