| dc.creator |
Kadyrov, S. |
|
| dc.creator |
Dyussekenov, D. |
|
| dc.date |
2020-02-01T00:00:00Z |
|
| dc.date.accessioned |
2021-12-03T12:02:51Z |
|
| dc.date.available |
2021-12-03T12:02:51Z |
|
| dc.identifier |
ce851bba-872e-4cea-966d-15bf1618c4bd |
|
| dc.identifier |
10.1142/s1793557120501582 |
|
| dc.identifier |
https://avesis.sdu.edu.tr/publication/details/ce851bba-872e-4cea-966d-15bf1618c4bd/oai |
|
| dc.identifier.uri |
http://acikerisim.sdu.edu.tr/xmlui/handle/123456789/94971 |
|
| dc.description |
We study the real numbers with partial quotients diverging to infinity in a subsequence. We show that if the subsequence has positive density then such sets have Hausdorff dimension equal to 1/2. This generalizes one of the results obtained in [C. Y. Cao, B. W. Wang and J. Wu, The growth speed of digits in infinite iterated function systems, Studia. Math. 217(2) (2013) 139-158; I. J. Good, The fractional dimensional theory of continued fractions, Proc. Cambridge Philos. Soc. 37 (1941) 199-228]. |
|
| dc.language |
eng |
|
| dc.rights |
info:eu-repo/semantics/closedAccess |
|
| dc.title |
Weakly divergent partial quotients |
|
| dc.type |
info:eu-repo/semantics/article |
|