A VARIATION ON LACUNARY STATISTICAL QUASI CAUCHY SEQUENCES

Authors : Hüseyin CAKALLI, Hüseyin KAPLAN

Pages : 71-79

Doi:10.1501/Commua1_0000000802

View : 9 | Download : 4

Publication Date : 2017-08-01

Article Type : Research Paper

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.insert ignore into journalissuearticles values(f insert ignore into journalissuearticles values(k););is a lacunary statistically delta quasi-Cauchy sequence whenever insert ignore into journalissuearticles values(k);is a lacunary statistically delta quasi-Cauchy sequence of points in A, wherea sequence insert ignore into journalissuearticles values(k);is called lacunary statistically delta quasi-Cauchy if insert ignore into journalissuearticles values(a lacunary statistically quasi-Cauchy sequence. It turns out that the set oflacunary statisticallyof continuous functions
Keywords : Lacunary statistical convergence, quasi Cauchy sequences, continuity