Cakalli, HuseyinKaplan, Huseyin2024-07-122024-07-1220162217-3412https://hdl.handle.net/20.500.12415/8221In this paper, the concept of a strongly lacunary delta-quasi-Cauchy sequence is investigated. A real valued function f defined on a subset A of R, the set of real numbers, is called strongly lacunary delta ward continuous on A if it preserves strongly lacunary delta quasi-Cauchy sequences of points in A, i.e. (f(alpha(k))) is a strongly lacunary delta quasi-Cauchy sequence whenever (alpha(k)) is a strongly lacunary delta quasi-Cauchy sequences of points in Lambda, where a sequence (alpha(k)) is called strongly lacunary delta quasi-Cauchy if (Delta(alpha k)) is a strongly lacunary quasi-Cauchy sequence where Delta(2 alpha)k = alpha(k+2)-2 alpha(k+1) + alpha(k) for each positive integer k. It turns out that the set of strongly lacunary delta ward continuous functions is a closed subset of the set of continuous functions.eninfo:eu-repo/semantics/closedAccesslacunary statistically convergencestrongly lacunary convergencequasi-Cauchy sequencescontinuityArticle203137WOS:000381995600002N/A