Lacunary Statistical Convergence of Sequences of Real-Valued Functions

Abstract EN

We introduce the concepts of the lacunary statistical convergence of sequences of real-valued functions.

We also give the relation between this convergence and strongly lacunary and pointwise statistical convergence.

Furthermore we introduce the concept of a lacunary statistical Cauchy sequence for functional sequences and prove that it is equivalent to lacunary statistical convergence of sequences of real-valued functions.