On Pointwise Lacunary Statistical Convergence of Order α of Sequences of Function

Abstract

In this paper we introduce the concepts of pointwise lacunary statistical convergence of order α and pointwise \(w_{p}(f,\theta )\)—summability of order α of sequences of real valued functions. Also some relations between pointwise \(S_{\theta }^{\alpha }(f)\)—statistical convergence and pointwise \(w_{p}^{\alpha }(f,\theta )\)—summability are given.