Abstract
By using the mildpoint trapezoidal rule a generalized Euler-Maclaurin expansion for computing Hadamard finite part values of the hypersingular integrals with a singular point on the inteval interior is shown, where there are some negative exponential terms of the step size in the expansion. It means that the rule is divergent. However, by means of succession Richandson extrapolations a high accuracy of Hadamard finite part values of the hypersingular integrals is obtained.
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