Trigonometric interpolation and quadrature in perturbed points

The trigonometric interpolants to a periodic function f in equispaced points converge if f is Dini-continuous, and the associated quadrature formula, the trapezoidal rule, converges if f is continuous. What if the points are perturbed? With equispaced grid spacing h, let each point be perturbed by a...

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Bibliographic Details
Main Authors: Austin, A, Trefethen, L
Format: Journal article
Published: Society for Industrial and Applied Mathematics 2017