WEIGHTED STATISTICAL CONVERGENCE OF REAL VALUED SEQUENCES
| dc.contributor.author | Adem, Abdu Awel | |
| dc.contributor.author | Altinok, Maya | |
| dc.date.accessioned | 2025-03-17T12:25:24Z | |
| dc.date.available | 2025-03-17T12:25:24Z | |
| dc.date.issued | 2020 | |
| dc.department | Tarsus Üniversitesi | |
| dc.description.abstract | Functions defined in the form g : N -> [0, infinity) such that lim(n ->infinity) g(n) = infinity and lim(n ->infinity) n/g(n) = 0n are called weight functions. Using the weight function, the concept of weighted density, which is a generalization of natural density, was defined by Balcerzak, Das, Filipczak and Swaczyna in the paper \Generalized kinsd of density and the associated ideals, Acta Mathematica Hungarica 147(1) (2015), 97-115. In this study, the definitions of g-statistical convergence and g-statistical Cauchy sequence for any weight function g are given and it is proved that these two concepts are equivalent. Also, some inclusions of the sets of all weight g(1)-statistical convergent and weight g(2)-statistical convergent sequences for g(1), g(2) which have the initial conditions are given. | |
| dc.identifier.doi | 10.22190/FUM12003887A | |
| dc.identifier.endpage | 898 | |
| dc.identifier.issn | 0352-9665 | |
| dc.identifier.issn | 2406-047X | |
| dc.identifier.issue | 3 | |
| dc.identifier.scopusquality | N/A | |
| dc.identifier.startpage | 887 | |
| dc.identifier.uri | https://doi.org/10.22190/FUM12003887A | |
| dc.identifier.uri | https://hdl.handle.net/20.500.13099/1658 | |
| dc.identifier.volume | 35 | |
| dc.identifier.wos | WOS:000585969100022 | |
| dc.identifier.wosquality | N/A | |
| dc.indekslendigikaynak | Web of Science | |
| dc.language.iso | en | |
| dc.publisher | Univ Nis | |
| dc.relation.ispartof | Facta Universitatis-Series Mathematics and Informatics | |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | |
| dc.rights | info:eu-repo/semantics/closedAccess | |
| dc.snmz | KA_WOS_20250316 | |
| dc.subject | weight functions | |
| dc.subject | natural density | |
| dc.subject | statistical convergent sequences | |
| dc.title | WEIGHTED STATISTICAL CONVERGENCE OF REAL VALUED SEQUENCES | |
| dc.type | Article |
