Error estimates with explicit constants for Sinc approximation, Sinc quadrature and Sinc indefinite integration

@article{Okayama2009ErrorEW,
  title={Error estimates with explicit constants for Sinc approximation, Sinc quadrature and Sinc indefinite integration},
  author={Tomoaki Okayama and Takayasu Matsuo and Masaaki Sugihara},
  journal={Numerische Mathematik},
  year={2009},
  volume={124},
  pages={361-394}
}
Error estimates with explicit constants are given for approximations of functions, definite integrals and indefinite integrals by means of the Sinc approximation. Although in the literature various estimates have already been given for these approximations, they were basically for examining the rates of convergence, and several constants were left unevaluated. Giving more explicit estimates, i.e., evaluating these constants is of great practical importance, since by which we can reinforce the… CONTINUE READING
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