A variation on lacunary quasi Cauchy sequences
| dc.authorid | Cakalli, Huseyin/0000-0001-7344-5826 | |
| dc.contributor.author | Cakalli, Huseyin | |
| dc.contributor.author | Et, Mikail | |
| dc.contributor.author | Sengul, Hacer | |
| dc.date.accessioned | 2024-12-24T19:23:57Z | |
| dc.date.available | 2024-12-24T19:23:57Z | |
| dc.date.issued | 2016 | |
| dc.department | Siirt Üniversitesi | |
| dc.description | 3rd International Conference on Analysis and Applied Mathematics (ICAAM) -- SEP 07-10, 2016 -- Almaty, KAZAKHSTAN | |
| dc.description.abstract | In the present paper, we introduce a concept of ideal lacunary statistical quasi-Cauchy sequence of order alpha of real numbers in the sense that a sequence (x(k)) of points in R is called I lacunary statistically quasi-Cauchy of order alpha, if {r is an element of N : 1/h(r)(a) vertical bar Delta x(k)vertical bar >= epsilon vertical bar >= epsilon vertical bar >= delta}is an element of I for each epsilon > 0 and for each delta > 0, where an ideal I is a family of subsets of positive integers N which is closed under taking finite unions and subsets of its elements. The main purpose of this paper is to investigate ideal lacunary statistical ward continuity of order alpha, where a function f is called I lacunary statistically ward continuous of order alpha if it preserves I-lacunary statistically quasi-Cauchy sequences of order alpha, i.e. (f(x(n))) is a s(theta)(alpha)(I)-quasi-Cauchy sequence whenever (x(n)) is. | |
| dc.description.sponsorship | Inst Math & Math Modeling,Al Farabi Kazakh Natl Univ,L N Gumilyov Eurasian Natl Univ | |
| dc.identifier.doi | 10.1063/1.4959670 | |
| dc.identifier.isbn | 978-0-7354-1417-4 | |
| dc.identifier.issn | 0094-243X | |
| dc.identifier.scopus | 2-s2.0-85000365344 | |
| dc.identifier.scopusquality | Q4 | |
| dc.identifier.uri | https://doi.org/10.1063/1.4959670 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12604/5779 | |
| dc.identifier.volume | 1759 | |
| dc.identifier.wos | WOS:000383223000053 | |
| dc.identifier.wosquality | N/A | |
| dc.indekslendigikaynak | Web of Science | |
| dc.indekslendigikaynak | Scopus | |
| dc.language.iso | en | |
| dc.publisher | Amer Inst Physics | |
| dc.relation.ispartof | International Conference on Analysis and Applied Mathematics (Icaam 2016) | |
| dc.relation.publicationcategory | Konferans Öğesi - Uluslararası - Kurum Öğretim Elemanı | |
| dc.rights | info:eu-repo/semantics/closedAccess | |
| dc.snmz | KA_20241222 | |
| dc.subject | Sequences | |
| dc.subject | Ideal convergence | |
| dc.subject | Compactness | |
| dc.subject | Continuity | |
| dc.title | A variation on lacunary quasi Cauchy sequences | |
| dc.type | Conference Object |
