A VARIATION ON LACUNARY STATISTICAL QUASI CAUCHY SEQUENCES

Year 2017, Volume: 66 Issue: 2, 71 - 79, 01.08.2017

Hüseyin Cakallı Hüseyin Kaplan

https://doi.org/10.1501/Commua1_0000000802

Cited By: 9

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 functions

Keywords

Lacunary statistical convergence, quasi-Cauchy sequences, continuity

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• Current address : Huseyin Cakalli :Maltepe University,TR 34857, Maltepe, Istanbul, TURKEY
• E-mail address : [e-mail]; [e-mail]
• Current address : Huseyin Kaplan: Nigde University, Department of Mathematics, Faculty of
• Science and Letters, Nigde, TURKEY
• E-mail address : [e-mail]