Quadrature Estimates for Multidimensional Integrals

نویسندگان

  • Jeffrey Rauch
  • Michael Taylor
چکیده

We prove estimates for the error in the most straightforward discrete approximation to the integral of a compactly supported function of n variables. The methods use Fourier analysis and interpolation theory, and also make contact with classical lattice point estimates. We also prove error estimates for the approximation of the integral over an interval by the trapezoidal rule and the midpoint rule.

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تاریخ انتشار 2008