| dc.creator |
Aytar, Salih |
|
| dc.date |
2008-02-29T22:00:00Z |
|
| dc.date.accessioned |
2020-10-06T10:47:27Z |
|
| dc.date.available |
2020-10-06T10:47:27Z |
|
| dc.identifier |
879d16ce-276b-48da-ae9e-7e86b8f10532 |
|
| dc.identifier |
10.1080/01630560802001056 |
|
| dc.identifier |
https://avesis.sdu.edu.tr/publication/details/879d16ce-276b-48da-ae9e-7e86b8f10532/oai |
|
| dc.identifier.uri |
http://acikerisim.sdu.edu.tr/xmlui/handle/123456789/65446 |
|
| dc.description |
In this paper we prove that the ordinary core of a sequence x = (xi) of real numbers is equal to its 2 (r) over bar -Iimit set, where (r) over bar := inf{r >= 0 : LIMxr x not equal empty set}. Defining the sets r-limit inferior and r-limit superior of a sequence, we show that the r-limit set of the sequence is equal to the intersection of these sets and that r-core of the sequence is equal to the union of these sets. Finally, we prove an ordinary convergence criterion that says a sequence is convergent iff its rough core is equal to its rough limit set for the same roughness degree. |
|
| dc.language |
eng |
|
| dc.rights |
info:eu-repo/semantics/closedAccess |
|
| dc.title |
The rough limit set and the core of a real sequence |
|
| dc.type |
info:eu-repo/semantics/article |
|