Strongly generalized difference $[V^\lambda,\Delta^m,p]$-summable sequence spaces defined by a sequence of moduli

Abstract

We introduce the strongly generalized difference $[V^\lambda,\Delta^m,p]$-summable sequences and give the relation between the spaces of strongly generalized difference $[V^\lambda,\Delta^m,p]$-summable sequences and strongly generalized difference $[V^\lambda,\Delta^m,p]$-summable sequences with respect to a sequence of moduli. Also we give natural relationship between strongly generalized difference $[V^\lambda,\Delta^m,p]$-convergence with respect to a sequence of moduli and strongly generalized difference $S^\lambda(\Delta^m)$-statistical convergence.