Strongly lacunary delta ward continuity

In this paper, the concepts of a lacunary statistically delta-quasi-Cauchy sequence and a strongly lacunary delta-quasiCauchy sequence are introduced, and investigated. In this investigation, we proved interesting theorems related to some newly defined continuities here, mainly, lacunary statistically delta-ward continuity, and strongly lacunary delta-ward continuity. A real valued function f defined on a subset A of R, the set of real numbers, is called lacunary statistically delta 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 quasi-Cauchy sequence whenever (alpha(k)) is a lacunary statistically quasi-Cauchy sequences of points in A, and a real valued function f defined on a subset A of R 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 quasi-Cauchy sequence whenever (alpha(k)) is a strongly lacunary quasi-Cauchy sequences of points in A. It turns out that the uniform limit process preserves such continuities.