Cakalli, HuseyinKaplan, Huseyin2024-07-122024-07-1220171303-599110.1501/Commua1_0000000802https://dx.doi.org/10.1501/Commua1_0000000802https://hdl.handle.net/20.500.12415/7867In this paper, the concept of a lacunary statistically delta-quasi-Cauchy sequence is investigated. In this investigation, we proved interesting theorems related to lacunary statistically delta-ward continuity, and some other kinds of continuities. A real valued function f defined on a subset A of R, the set of real numbers, is called lacunary statistically S ward continuous on A if it preserves lacunary statistically delta quasi-Cauchy sequences of points in A, i.e. (f (alpha(k))) is a lacunary statistically delta quasi-Cauchy sequence whenever (alpha(k)) is a lacunary statistically delta quasi-Cauchy sequence of points in A, where a sequence (alpha(k)) is called lacunary statistically delta quasi-Cauchy if (Delta alpha(k)) is a lacunary statistically quasi-Cauchy sequence. It turns out that the set of lacunary statistically delta ward continuous functions is a closed subset of the set of continuous functions.eninfo:eu-repo/semantics/openAccessLacunary statistical convergencequasi-Cauchy sequencescontinuityArticle7927166WOS:000407117100007N/A