λ -Statistical Convergence in Paranormed Space

Abstract

The concept of $\lambda$-statistical convergence for sequences of real numbers was introduced in Mursaleen (2000). In this paper, we prove decomposition theorem for $\lambda$-statistical convergence. We also define and study $\lambda$-statistical convergence, $\lambda$-statistically Cauchy, and strongly ${\lambda }_p$-summability in Paranormed Space.