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GaussianQuadratureError[n, f, a, b]
gives the leading term in the error of the elementary n-point Gaussian quadrature formula for the function f on an interval from a to b.
GaussianQuadratureError[n, f, a, b, prec]
attempts to give a result with prec digits of precision.
  • The function f may be a pure function or a named function defined using Set or SetDelayed.
  • The error is given as a function of n, a and b multiplied by an m^(th) derivative of the function f. The size of the error is bounded by the maximum of this expression over the interval from a to b.