Generalized statistical convergence for sequences of function in random 2-normed spaces
| dc.contributor.author | Savaş, Ekrem | |
| dc.contributor.author | Gürdal, Mehmet | |
| dc.date.accessioned | 2020-11-21T15:54:15Z | |
| dc.date.available | 2020-11-21T15:54:15Z | |
| dc.date.issued | 2018 | en_US |
| dc.department | İstanbul Ticaret Üniversitesi | en_US |
| dc.description | 4th International Conference on Mathematics and Computing, ICMC 2018 -- 9 January 2018 through 11 January 2018 -- -- 212949 | en_US |
| dc.description.abstract | In this paper, we introduce a new type of convergence for a sequence of function, namely, ? -statistically convergent sequences of functions in random 2-normed space, which is a natural generalization of convergence in random 2-normed space. In particular, following the line of recent work of Karakaya et al. [12], we introduce the concepts of uniform ? -statistical convergence and pointwise ? -statistical convergence in the topology induced by random 2-normed spaces. We define the ? -statistical analog of the Cauchy convergence criterion for pointwise and uniform ? -statistical convergence in a random 2-normed space and give some basic properties of these concepts. In addition, the preservation of continuity by pointwise and uniform ? -statistical convergence is proven. © 2018, Springer Nature Singapore Pte Ltd. | en_US |
| dc.identifier.doi | 10.1007/978-981-13-0023-3_28 | en_US |
| dc.identifier.endpage | 308 | en_US |
| dc.identifier.issn | 1865-0929 | |
| dc.identifier.issn | 9.78981E+12 | |
| dc.identifier.scopus | 2-s2.0-85045667969 | en_US |
| dc.identifier.scopusquality | Q4 | en_US |
| dc.identifier.startpage | 296 | en_US |
| dc.identifier.uri | https://doi.org/10.1007/978-981-13-0023-3_28 | |
| dc.identifier.uri | https://hdl.handle.net/11467/3796 | |
| dc.identifier.volume | 834 | en_US |
| dc.indekslendigikaynak | Scopus | en_US |
| dc.language.iso | en | en_US |
| dc.publisher | Springer Verlag | en_US |
| dc.relation.ispartof | Communications in Computer and Information Science | en_US |
| dc.relation.publicationcategory | Konferans Öğesi - Uluslararası - Kurum Öğretim Elemanı | en_US |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Random 2-normed space | en_US |
| dc.subject | The sequences of functions | en_US |
| dc.subject | ? -statistical convergence | en_US |
| dc.title | Generalized statistical convergence for sequences of function in random 2-normed spaces | en_US |
| dc.type | Conference Object | en_US |
