The paper discusses both theoretical properties and practical implementation of product integration rules of the form $$\int^\infty_{-\infty} k(x)f(x) dx \approx \sum ...
It is shown that there do not exist integration rules of the form $\int^\infty_0 f(x) dx = \sum_{i=1}^n w_if(x_i) + C_nf^{(m)}(\xi),\quad 0 < \xi < \infty$. Journal ...
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