Abstract
Let f n denote the nth Fubini number. In this paper, first we give upper and lower bounds for the Fubini numbers f n . Then the log-convexity of the Fubini numbers has been obtained. Furthermore we also give the monotonicity of the sequence [n√ fn]n≥1 by using the aforementioned bounds.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 17-23 |
| Number of pages | 7 |
| Journal | Transactions on Combinatorics |
| Volume | 7 |
| Issue number | 2 |
| DOIs | |
| State | Published - Jun 1 2018 |
| Externally published | Yes |
Keywords
- Fubini number
- Log-convexity
- Monotonicity
ASJC Scopus subject areas
- Discrete Mathematics and Combinatorics
- Computational Theory and Mathematics