Канторвали як множини неелементарних ланцюгових дробів з обмеженим алфавітом
Let $G_{\mathcal{A}}$ be a set of values of continued fractions whose elements belong to a bounded set $\mathcal{A}$ of positive real numbers. We prove that $G_{\mathcal{A}}$ is a continuum bounded and perfect set. For $\mathcal{A}_3=\{0{,}5; 1; 8\}$, the set $G_{\mathcal{A}}$ is a Cantorval, namely...
Saved in:
| Date: | 2019 |
|---|---|
| Main Authors: | , , |
| Format: | Article |
| Language: | Ukrainian |
| Published: |
Інститут математики НАН України
2019
|
| Online Access: | https://trim.imath.kiev.ua/index.php/trim/article/view/523 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Journal Title: | Transactions of Institute of Mathematics of NAS of Ukraine |
| Download file: |  |