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APPROXIMATION OF AND BY COMPLETELY MONOTONE FUNCTIONS
The ANZIAM Journal ( IF 1.0 ) Pub Date : 2020-03-06 , DOI: 10.1017/s1446181120000012
R. J. LOY , R. S. ANDERSSEN

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:

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。
更新日期:2020-03-06
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