| dc.contributor.author |
Gogola, Ján
|
cze |
| dc.contributor.author |
Baláž, Vladimír |
cze |
| dc.contributor.author |
Visnyai, Tomáš |
cze |
| dc.date.accessioned |
2018-02-27T03:18:42Z |
|
| dc.date.available |
2018-02-27T03:18:42Z |
|
| dc.date.issued |
2018 |
eng |
| dc.identifier.issn |
0022-314X |
eng |
| dc.identifier.uri |
https://hdl.handle.net/10195/70113 |
|
| dc.description.abstract |
The statistical convergence is equivalent with Id-convergence, where Id is the ideal of all subsets of positive integers having the asymptotic density zero. In this paper we will study I-convergence of well known arithmetical functions, where I=Ic(q) is an admissible ideal on N for q in ]0,1] such that Ic(q) is a proper subset of Id. |
eng |
| dc.format |
p. 74-83 |
eng |
| dc.language.iso |
eng |
eng |
| dc.publisher |
Academic Press (Elsevier) |
eng |
| dc.relation.ispartof |
Journal of Number Theory, volume 183, issue: 2/2018 |
eng |
| dc.rights |
embargoed access |
eng |
| dc.subject |
ideal covergence, arithmetical functions |
eng |
| dc.subject |
ideálová konvergence, aritmetické funkce |
cze |
| dc.title |
Ic(q)-convergence of arithmetical functions |
eng |
| dc.title.alternative |
Ic(q)-konvergence aritmetických funkcí |
cze |
| dc.type |
article |
eng |
| dc.description.abstract-translated |
Statistická konvergence je ekvivalentní s Id-konvergencí, kde Id je ideál všech podmnožin N, které mají asymptotickou hustotu rovnou 0. V našem článku se zabýváme studiem I-konvergence některých známých aritmetických funkcí, kde I=Ic(q) je přípustný ideál na N pro q z ]0,1], takový že Ic(q) je vlastní podmnožina Id. |
cze |
| dc.peerreviewed |
yes |
eng |
| dc.publicationstatus |
postprint |
eng |
| dc.identifier.doi |
10.1016/j.jnt.2017.07.006 |
eng |
| dc.relation.publisherversion |
http://www.sciencedirect.com/science/article/pii/S0022314X17302743?via%3Dihub |
eng |
| dc.identifier.wos |
000414380200005 |
|
| dc.identifier.scopus |
2-s2.0-85029165491 |
|
| dc.identifier.obd |
39879111 |
eng |
