On Certain New Difference Sequence Spaces Generated by Infinite Matrices

S. Dutta, P. Baliarsingh

Abstract

The main purpose of the present paper is to derive some inclusion relations and other interesting properties of  certain difference sequence spaces $[C,1]( \hat{A},\Delta)$, $(C,1)( \hat{A},\Delta),[V,\lambda](
\hat{A},\Delta)$ and $(V,\lambda)( \hat{A},\Delta)$ generated by infinite\break matrices. Also we introduce the concept of $\lambda_B$-statistical convergence and derive many other results on these spaces by introducing Orlicz functions.