Variations on strongly lacunary quasi Cauchy sequences
| dc.authorid | 0000-0001-7344-5826 | |
| dc.contributor.author | Kaplan, Huseyin | |
| dc.contributor.author | Cakalli, Huseyin | |
| dc.contributor.editor | Ashyralyev, A | |
| dc.contributor.editor | Lukashov, A | |
| dc.date.accessioned | 2019-08-01T13:38:39Z | |
| dc.date.available | 2019-08-01T13:38:39Z | |
| dc.date.issued | 2016 | |
| dc.department | Niğde ÖHÜ | |
| dc.description | 3rd International Conference on Analysis and Applied Mathematics (ICAAM) -- SEP 07-10, 2016 -- Almaty, KAZAKHSTAN | |
| dc.description.abstract | We introduce a new function space, namely the space of N-theta(p)-ward continuous functions, which turns out to be a closed subspace of the space of continuous functions for each positive integer p. N-theta(alpha)(p)-ward continuity is also introduced and investigated for any fixed 0 < a <= 1, and for any fixed positive integer p. A real valued function f defined on a subset A of R, the set of real numbers is N-theta(alpha)(p)-ward continuous if it preserves N-theta(alpha)(p)-quasi-Cauchy sequences, i.e. (f(x(n))) is an N-theta(alpha)(p)-quasi--Cauchy sequence whenever (x(n)) is N-theta(alpha)(p)-quasi-Cauchy sequence of points in A, where a sequence (x(k)) of points in R is called N-theta(alpha)(p)-quasi-Cauchy if [GRAPHICS] 1/h(r)(alpha) [GRAPHICS] vertical bar Delta x(k)vertical bar(p) - 0, where Delta x(k) = x(k+1) - x(k) for each positive integer k, p is a fixed positive integer, alpha is fixed in ]0, 1], I-r = (k(r-1), k(r)], and theta = (k(r)) is a lacunary sequence, i.e. an increasing sequence of positive integers such that k(0) not equal 0, and h(r) : k(r) - k(r-1) -> infinity. | |
| dc.description.sponsorship | Inst Math & Math Modeling, Al Farabi Kazakh Natl Univ, L N Gumilyov Eurasian Natl Univ | |
| dc.identifier.doi | 10.1063/1.4959665 | |
| dc.identifier.isbn | 978-0-7354-1417-4 | |
| dc.identifier.issn | 0094-243X | |
| dc.identifier.scopus | 2-s2.0-85000613520 | |
| dc.identifier.scopusquality | N/A | |
| dc.identifier.uri | https://dx.doi.org/10.1063/1.4959665 | |
| dc.identifier.uri | https://hdl.handle.net/11480/3777 | |
| dc.identifier.volume | 1759 | |
| dc.identifier.wos | WOS:000383223000048 | |
| dc.identifier.wosquality | N/A | |
| dc.indekslendigikaynak | Web of Science | |
| dc.indekslendigikaynak | Scopus | |
| dc.institutionauthor | [0-Belirlenecek] | |
| dc.language.iso | en | |
| dc.publisher | AMER INST PHYSICS | |
| dc.relation.ispartof | INTERNATIONAL CONFERENCE ON ANALYSIS AND APPLIED MATHEMATICS (ICAAM 2016) | |
| dc.relation.ispartofseries | AIP Conference Proceedings | |
| dc.relation.publicationcategory | Konferans Öğesi - Uluslararası - Kurum Öğretim Elemanı | |
| dc.rights | info:eu-repo/semantics/closedAccess | |
| dc.subject | Strongly lacunary convergence | |
| dc.subject | Quasi-Cauchy sequences | |
| dc.subject | Continuity | |
| dc.title | Variations on strongly lacunary quasi Cauchy sequences | |
| dc.type | Conference Object |
