Strongly almost convergent generalized difference sequences associated with multiplier sequences

Let Lambda = (lambda(k)) be a sequence of non-zero complex numbers. In this paper we introduce the strongly almost convergent generalized difference sequence spaces associated with multiplier sequences i.e. w(0) [A, Delta(m), Lambda, p], w(1) [A, Delta(m), Lambda, p], w(infinity)[A, Delta(m), Lambda, p] and study their different properties. We also introduce Delta(m)(Lambda)-stat- istically convergent sequences and give some inclusion relations between w(1)[Delta(m),lambda,p] convergence and Delta(m)(Lambda)-statistical convergence. (c) 2007 Mathematical Institute Slovak Academy of Sciences.