We investigate convergence in the cone of completely monotone functions. Particular attention is paid to the approximation of and by exponentials and stretched exponentials. The need for such an analysis is a consequence of the fact that although stretched exponentials can be approximated by sums of exponentials, exponentials cannot in general be approximated by sums of stretched exponentials.

中文翻译：

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完全单调函数的逼近和完全单调函数

我们研究完全单调函数锥中的收敛性。特别注意指数和拉伸指数的近似值。需要进行这种分析的原因是，虽然拉伸指数可以用指数之和来近似，但指数通常不能用拉伸指数之和来近似。