Trigonometric Interpolation and Quadrature in Perturbed Points

DOI10.1137/16M1107760zbMath1373.42004arXiv1612.04018OpenAlexW2564420416MaRDI QIDQ5355554

Anthony P. Austin, Lloyd N. Threfethen

Publication date: 8 September 2017

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1612.04018

zbMATH Keywords

trigonometric interpolationsampling theoryquadratureLebesgue constantKadec \(1/4\) theoremFejér-Kalmár theorem

Mathematics Subject Classification ID

Trigonometric interpolation (42A15) Numerical quadrature and cubature formulas (65D32) Sampling theory in information and communication theory (94A20)

Related Items (9)

Direct inversion of the nonequispaced fast Fourier transform ⋮ The Linear Sampling Method for Random Sources ⋮ On trigonometric interpolation in an even number of points ⋮ A Nonuniform Fast Fourier Transform Based on Low Rank Approximation ⋮ Trefftz approximations in complex media: accuracy and applications ⋮ On the stability of unevenly spaced samples for interpolation and quadrature ⋮ Recurrence Phenomenon for Vlasov-Poisson Simulations on Regular Finite Element Mesh ⋮ Sampling, Marcinkiewicz-Zygmund inequalities, approximation, and quadrature rules ⋮ Exactness of Quadrature Formulas

Cites Work

• Über die Konvergenz von Quadraturverfahren
• Nonuniform Sampling and Reconstruction in Shift-Invariant Spaces
• The Exponentially Convergent Trapezoidal Rule
• О Сходимости Тригонометричецкого и Гармонического интерполирования
• An introduction to frames and Riesz bases
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