Weighted Lacunary Statistical Convergence in Locally Solid Riesz Spaces

Abstract

In this paper we introduce the concepts of weighted lacunary statistical tau-convergence, weighted lacunary statistical tau-bounded by combining both of the definitions of lacunary sequence and Norlund-type mean, using a new lacunary sequence which has been defined by Basarir and Konca [3]. We also prove some topological results related to these concepts in the framework of locally solid Riesz spaces.