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

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  • Okayama, Tomoaki

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.

Suggested Citation

  • Okayama, Tomoaki, 2018. "Error estimates with explicit constants for the Sinc approximation over infinite intervals," Applied Mathematics and Computation, Elsevier, vol. 319(C), pages 125-137.
  • Handle: RePEc:eee:apmaco:v:319:y:2018:i:c:p:125-137
    DOI: 10.1016/j.amc.2017.02.022
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