A new study on the strongly lacunary quasi Cauchyness

Abstract

In this paper, the concept of an N 2 θ quasi-Cauchy sequence is introduced. We proved interesting theorems related to N 2 θ -quasi-Cauchy sequences. A real valued function f defined on a subset A of R, the set of real numbers, is) is an N θ quasi-Cauchy sequence where ∆ 2 α k = α k+2 − 2α k+1 + α k for each positive integer k.