An intermediate value theorem for sequences with terms in a finite set
综合数学
2007-05-23 v1
摘要
We prove an intermediate value theorem of an arithmetical flavor, involving the consecutive averages of sequences with terms in a given finite set A. For every such set we completely characterize the numbers x ("intermediate values") with the property that the consecutive averages of every sequence with terms in A cannot increase from a value less than x to a value greater than x without taking the value x somewhere in between.
引用
@article{arxiv.math/0509537,
title = {An intermediate value theorem for sequences with terms in a finite set},
author = {Mihai Caragiu and Laurence D. Robinson},
journal= {arXiv preprint arXiv:math/0509537},
year = {2007}
}
备注
13 pages