In this study, using the generalized difference operator ∆m, we introduce the concepts of (∆m, I) −lacunary statistical convergence of order α and lacunary strong ∆mp −summa

In this paper we introduce the concepts of pointwise lacunary statistical convergence of order a and pointwise wpðf ; hÞ—summability of order a of sequences of real valued functions. Also some relations between pointwise ...

: In this paper, we define the generalized Ces`aro difference sequence space C(p)(∆m) and consider it equipped with the Luxemburg norm under which it is a Banach space and we show that in the space C(p)(∆m) every weakly ...