On Borel convergence of double sequences
| dc.contributor.author | Yamancı, Ulaş | |
| dc.contributor.department | Other | tr_TR |
| dc.contributor.faculty | Other | tr_TR |
| dc.date.accessioned | 2021-11-04T06:28:33Z | |
| dc.date.available | 2021-11-04T06:28:33Z | |
| dc.date.issued | 2019-08-01 | |
| dc.description.abstract | In this paper, we introduce the concept of (Ber)-convergence of bounded double sequences in the Fock space F(C²). We show that every (Ber)-convergent double sequence is Borel convergent. Namely, we prove the following theorem by using the Berezin symbol method: If the {x_{ij}}_{i,j=0}^{∞} is regularly convergent to x, then lim_{k,l→∞}e^{-k-l}∑_{i,j=0}^{∞}x_{ij}((k^{i}t^{j})/(i!j!))=x. | tr_TR |
| dc.description.index | Trdizin | tr_TR |
| dc.identifier.endpage | 1293 | tr_TR |
| dc.identifier.issn/e-issn | 2618-6470 | |
| dc.identifier.issue | 2 | tr_TR |
| dc.identifier.startpage | 1289 | tr_TR |
| dc.identifier.uri | https://doi.org/10.31801/cfsuasmas.425391 | tr_TR |
| dc.identifier.uri | http://hdl.handle.net/20.500.12575/75879 | |
| dc.identifier.volume | 68 | tr_TR |
| dc.language.iso | en | tr_TR |
| dc.publisher | Ankara Üniversitesi Fen Fakültesi | tr_TR |
| dc.relation.isversionof | 10.31801/cfsuasmas.425391 | tr_TR |
| dc.relation.journal | Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics | tr_TR |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Başka Kurum Yazarı | tr_TR |
| dc.subject | Borel convergence | tr_TR |
| dc.subject | Berezin symbol | tr_TR |
| dc.subject | Pringsheim's sense | tr_TR |
| dc.title | On Borel convergence of double sequences | tr_TR |
| dc.type | Article | tr_TR |