Approximation of and by completely monotone functions

Rick J. Loy, Robert Scott Anderssen


We investigate convergence in the cone of completely monotone fu nctions. 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.



complete and absolute monotonicity, stretched exponential, approximation, completely monotone and Kohlrausch functions, uniform and pointwise convergence.


Remember, for most actions you have to record/upload into this online system
and then inform the editor/author via clicking on an email icon or Completion button.
ANZIAM Journal, ISSN 1446-8735, copyright Australian Mathematical Society.