On some classes of generalized difference paranormed sequence spaces associated with multiplier sequences

Abstract

In this article we introduce the generalized difference paranormed sequence spaces c(o)(Delta(n), Lambda, p), c(Delta(n), Lambda, p) and l(infinity)(Delta(n), Lambda, p) associated with the multiplier sequence Lambda = (lambda(k)) of non-zero complex numbers. We study their different properties and prove some inclusion relations.