L'Hospital-type rules for monotonicity and limits: Discrete case
经典分析与常微分方程
2017-01-17 v1 综合数学
摘要
Assuming that a "derivative" ratio rho:=f'/g' of the ratio r:=f/g of differentiable functions f and g is monotonic (that is, rho is increasing or decreasing), it was shown in previous papers that then r can switch at most once, from decrease to increase or vice versa. In the present paper, "discrete" versions of such l'Hospital-type rules for monotonicity (as well as "discrete" versions of l'Hospital's rules for limits) are obtained, for functions f and g defined on an interval of integers.
引用
@article{arxiv.math/0611665,
title = {L'Hospital-type rules for monotonicity and limits: Discrete case},
author = {Iosif Pinelis},
journal= {arXiv preprint arXiv:math/0611665},
year = {2017}
}
备注
6 pages