Error estimates with explicit constants for the Sinc approximation over infinite intervals

Tomoaki Okayama

Applied Mathematics and Computation, 2018, vol. 319, issue C, 125-137

Abstract: The Sinc approximation is a function approximation formula that attains exponential convergence for rapidly decaying functions defined on the whole real axis. Even for other functions, the Sinc approximation works accurately when combined with a proper variable transformation. The convergence rate has been analyzed for typical cases including finite, semi-infinite, and infinite intervals. Recently, for verified numerical computations, a more explicit, “computable” error bound has been given in the case of a finite interval. In this paper, such explicit error bounds are derived for other cases.

Keywords: Sinc approximation; Conformal map; Double-exponential transformation; Infinite interval; Error bound (search for similar items in EconPapers)
Date: 2018
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:319:y:2018:i:c:p:125-137

DOI: 10.1016/j.amc.2017.02.022

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