- Communications Faculty of Sciences University Ankara Series A1 Mathematics and Statistics
- Vol: 66 Issue: 2
- A VARIATION ON LACUNARY STATISTICAL QUASI CAUCHY SEQUENCES
A VARIATION ON LACUNARY STATISTICAL QUASI CAUCHY SEQUENCES
Authors : Hüseyin Cakalli, Hüseyin Kaplan
Pages : 71-79
Doi:10.1501/Commua1_0000000802
View : 9 | Download : 5
Publication Date : 2017-08-01
Article Type : Research
Abstract :In this paper, the concept of a lacunary statistically -quasi-Cauchysequence is investigated. In this investigation, we proved interesting theoremsrelated to lacunary statisticallycontinuities. A real valued function f de…ned on a subset A of R, the set ofreal numbers, is called lacunary statisticallyserves lacunary statistically delta quasi-Cauchy sequences of points in A, i.e.(f (k))is a lacunary statistically delta quasi-Cauchy sequence whenever (k)is a lacunary statistically delta quasi-Cauchy sequence of points in A, wherea sequence (k)is called lacunary statistically delta quasi-Cauchy if (a lacunary statistically quasi-Cauchy sequence. It turns out that the set oflacunary statisticallyof continuous functionsKeywords : Lacunary statistical convergence, quasi-Cauchy sequences, continuity