Conditions for the pringsheim convergence of double sequences that are deferred cesàro summable
| dc.authorid | 0000-0002-8053-9991 | en_US |
| dc.contributor.author | Sezer, Sefa Anıl | |
| dc.date.accessioned | 2024-07-12T20:47:16Z | |
| dc.date.available | 2024-07-12T20:47:16Z | |
| dc.date.issued | 2021 | en_US |
| dc.department | Fakülteler, İnsan ve Toplum Bilimleri Fakültesi, Matematik Bölümü | en_US |
| dc.description.abstract | For a given real or complex valued double sequence (umn), its deferred Cesaro means are defined by ` D(11) mn (u) = 1 (?m ? ?m)(qn ? pn) ?m j=?m+1 qn k=pn+1 ujk (1) where (pn), (qn), (?m) and (?m) are the sequences of non-negative integers satisfying pn < qn, ?m < ?m and limn qn = ?, limm ?m = ?. We say that (umn) is deferred Cesaro summable (briefly ( ` DC, 1, 1) summable) to if (1) tends to as m, n ? ?. Note that, if pn = 0, qn = n and ?m = 0, ?m = m, then corresponding (DC, 1, 1) method is the well known Cesaro summability ( ` C, 1, 1). In this extended abstract we give inverse conditions to obtain Pringsheim convergence of deferred Cesaro summable double ` sequences. We also give an inclusion relation with example. | en_US |
| dc.identifier.citation | Sezer, S. A. (2021). Conditions for the pringsheim convergence of double sequences that are deferred cesàro summable. Fourth International Conference of Mathematical Sciences, Maltepe Üniversitesi. s. 1-3. | en_US |
| dc.identifier.endpage | 3 | en_US |
| dc.identifier.isbn | 978-0-7354-4078-4 | |
| dc.identifier.startpage | 1 | en_US |
| dc.identifier.uri | https://aip.scitation.org/doi/10.1063/5.0042110 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12415/1968 | |
| dc.language.iso | en | en_US |
| dc.publisher | Maltepe Üniversitesi | en_US |
| dc.relation.ispartof | Fourth International Conference of Mathematical Sciences | en_US |
| dc.relation.isversionof | 10.1063/5.0042110 | en_US |
| dc.relation.publicationcategory | Uluslararası Konferans Öğesi - Başka Kurum Yazarı | en_US |
| dc.rights | CC0 1.0 Universal | * |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.rights.uri | http://creativecommons.org/publicdomain/zero/1.0/ | * |
| dc.snmz | KY07388 | |
| dc.subject | Deferred Cesaro means | en_US |
| dc.subject | double sequences | en_US |
| dc.subject | convergence in Pringsheim’s sense | en_US |
| dc.subject | inverse conditions | en_US |
| dc.subject | inclusion relations | en_US |
| dc.title | Conditions for the pringsheim convergence of double sequences that are deferred cesàro summable | en_US |
| dc.type | Conference Object | |
| dspace.entity.type | Publication |
