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- Title
Lacunary statistical delta 2 quasi Cauchy sequences.
- Authors
YILDIZ, Şebnem
- Abstract
The notion of a lacunary statistical δ2-quasi-Cauchyness of sequence of real numbers is introduce and investigated. In this work, we present interesting theorems related to lacunary statistically δ2-ward continuity. A function f, whose domain is included in R, and whose range included in R is called lacunary statistical δ2 ward continuous if it preserves lacunary statistical δ2 quasi-Cauchy sequences, i.e. (f(xk)) is a lacunary statistically δ2 quasi-Cauchy sequence whenever (xk) is a lacunary statistically δ2 quasi-Cauchy sequence, where a sequence (xk) is called lacunary statistically δ2 quasi-Cauchy if (Δ2 xk) is a lacunary statistically quasi-Cauchy sequence. We find out that the set of lacunary statistical δ2 ward continuous functions is closed as a subset of the set of continuous functions.
- Subjects
CAUCHY problem; NUMBER theory; MATHEMATICS theorems
- Publication
Sakarya University Journal of Science (SAUJS) / Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2017, Vol 21, Issue 6, p1408
- ISSN
1301-4048
- Publication type
Article
- DOI
10.16984/saufenbilder.336128