O g-Statistical Convergence in Paranormed Spaces

Kuldip Raj, Renu Anand, Seema Jamwal

Abstract

In this paper we construct some spaces of lacunary almost convergent sequences and lacunary strongly almost convergent sequences via sequence of Orlicz functions over n-normed spaces and established some inclusion relations between these spaces. We also make an effort to define a new concept called g-statistical convergence in paranormed spaces where the base space is a n-normed spaces.

Keywords

Strongly almost convergence, almost convergence, n-norm, g-statistical convergence, strongly p-Cesaro summability, Orlicz funcion.

Full Text:

PDF