Further Results on (?_s^j,f)-Lacunary Statistical Convergence of Double Sequences of order ?
| dc.contributor.author | Kişi, Ömer | |
| dc.contributor.author | Akbıyık, Rümeysa | |
| dc.contributor.author | Gürdal, Mehmet | |
| dc.contributor.author | Kişi, Ömer | |
| dc.date.accessioned | 2025-10-18T08:23:39Z | |
| dc.date.created | 2024 | |
| dc.date.issued | 2024 | |
| dc.department | Fakülteler, Fen Fakültesi, Matematik Bölümü | |
| dc.description.abstract | This paper defines the space S_(?_uv)^? (?_s^j,f), encompassing all sequences that are (?_s^j,f)-lacunary statistically convergent of order ?, utilizing an unbounded modulus function f, a double lacunary sequence ?_uv={(k_u,l_v )}, a generalized difference operator ?_s^j, and a real number ? ? (0,1]. Additionally, the space ?_(?_uv)^? (?_s^j,f) is introduced to include all sequences that are strongly (?_s^j,f)-lacunary summable of order ?. The paper investigates properties associated with these spaces, and under specific conditions, inclusion relations between the spaces S_(?_uv)^? (?_s^j,f) and ?_(?_uv)^? (?_s^j,f) are established. | |
| dc.identifier.doi | 10.29233/sdufeffd.1469619 | |
| dc.identifier.endpage | 97 | |
| dc.identifier.issn | 1306-7575 | |
| dc.identifier.issue | 2 | |
| dc.identifier.startpage | 86 | |
| dc.identifier.trdizinid | 1282316 | |
| dc.identifier.uri | https://search.trdizin.gov.tr/tr/yayin/detay/1282316 | |
| dc.identifier.uri | https://doi.org/10.29233/sdufeffd.1469619 | |
| dc.identifier.uri | https://hdl.handle.net/11772/18439 | |
| dc.identifier.volume | 19 | |
| dc.indekslendigikaynak | TR-Dizin | |
| dc.language.iso | en | |
| dc.relation.ispartof | Süleyman Demirel Üniversitesi Fen Edebiyat Fakültesi Fen Dergisi | |
| dc.relation.publicationcategory | Makale - Ulusal Hakemli Dergi - Kurum Öğretim Elemanı | |
| dc.rights | info:eu-repo/semantics/openAccess | |
| dc.snmz | TR-Dizin_20251017 | |
| dc.subject | Lacunary statistical convergence | |
| dc.subject | Modulus function | |
| dc.subject | Lacunary sequences | |
| dc.title | Further Results on (?_s^j,f)-Lacunary Statistical Convergence of Double Sequences of order ? | |
| dc.type | Article | |
| dspace.entity.type | Publication | |
| relation.isAuthorOfPublication | a7b81cc6-2769-4de0-83ea-af331dd924b9 | |
| relation.isAuthorOfPublication.latestForDiscovery | a7b81cc6-2769-4de0-83ea-af331dd924b9 |
