O g-Statistical Convergence in Paranormed Spaces

Authors

  • Kuldip Raj SMVD University, Katra, J&K India
  • Renu Anand
  • Seema Jamwal

Keywords:

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

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.

Author Biography

  • Kuldip Raj, SMVD University, Katra, J&K India
    School of Mathematics Asstt. Prof.

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Published

2016-10-30

Issue

Section

Mathematical Analysis

How to Cite

O g-Statistical Convergence in Paranormed Spaces. (2016). European Journal of Pure and Applied Mathematics, 9(4), 464-478. https://www.ejpam.com/index.php/ejpam/article/view/2596