Ideal statistically quasi Cauchy sequences
| dc.contributor.author | Savaş, Ekrem | |
| dc.contributor.author | Çakallı, Hüseyin | |
| dc.date.accessioned | 2020-11-21T15:54:42Z | |
| dc.date.available | 2020-11-21T15:54:42Z | |
| dc.date.issued | 2016 | en_US |
| dc.department | İstanbul Ticaret Üniversitesi | en_US |
| dc.description | 3rd International Conference on Analysis and Applied Mathematics, ICAAM 2016 -- 7 September 2016 through 10 September 2016 -- -- 123415 | en_US |
| dc.description.abstract | An ideal I is a family of subsets of N, the set of positive integers which is closed under taking finite unions and subsets of its elements. A sequence (xk) of real numbers is said to be S(I)-statistically convergent to a real number L, if for each ? > 0 and for each ? > 0 the set { n?N:1n| { k?n:| xk-L |?? } |?? } belongs to I. We introduce S(I)-statistically ward compactness of a subset of R, the set of real numbers, and S(I)-statistically ward continuity of a real function in the senses that a subset E of R is S(I)-statistically ward compact if any sequence of points in E has an S(I)-statistically quasi-Cauchy subsequence, and a real function is S(I)-statistically ward continuous if it preserves S(I)-statistically quasi-Cauchy sequences where a sequence (xk) is called to be S(I)-statistically quasi-Cauchy when (?xk) is S(I)-statistically convergent to 0. We obtain results related to S(I)-statistically ward continuity, S(I)-statistically ward compactness, N?-ward continuity, and slowly oscillating continuity. © 2016 Author(s). | en_US |
| dc.identifier.doi | 10.1063/1.4959671 | en_US |
| dc.identifier.issn | 0094243X | |
| dc.identifier.issn | 9.78074E+12 | |
| dc.identifier.scopus | 2-s2.0-85000774266 | en_US |
| dc.identifier.scopusquality | N/A | en_US |
| dc.identifier.uri | https://doi.org/10.1063/1.4959671 | |
| dc.identifier.uri | https://hdl.handle.net/11467/3879 | |
| dc.identifier.volume | 1759 | en_US |
| dc.identifier.wos | WOS:000383223000054 | en_US |
| dc.identifier.wosquality | N/A | en_US |
| dc.indekslendigikaynak | Web of Science | en_US |
| dc.indekslendigikaynak | Scopus | en_US |
| dc.language.iso | en | en_US |
| dc.publisher | American Institute of Physics Inc. | en_US |
| dc.relation.ispartof | AIP Conference Proceedings | en_US |
| dc.relation.publicationcategory | Konferans Öğesi - Uluslararası - Kurum Öğretim Elemanı | en_US |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Compactness | en_US |
| dc.subject | Continuity | en_US |
| dc.subject | Ideal convergence | en_US |
| dc.subject | Sequences | en_US |
| dc.title | Ideal statistically quasi Cauchy sequences | en_US |
| dc.type | Conference Object | en_US |
