A Property of completely monotonic functions
- 9 April 1987
- journal article
- research article
- Published by Cambridge University Press (CUP) in Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics
- Vol. 42 (2) , 143-146
- https://doi.org/10.1017/s1446788700028160
Abstract
A non-negative function f(t), t > 0, is said to be completely monotonic if its derivatives satisfy (-1)n fn (t) ≥ 0 for all t and n = 1, 2, …, For such a function, either f(t + δ) / f(t) is strictly increasing in t for each δ > 0, or f(t) = ce-dt for some constants c and d, and for all t. An application of this result is given.Keywords
This publication has 1 reference indexed in Scilit:
- Stability analysis of product ?-methods for Abel integral equations of the second kindNumerische Mathematik, 1986