Some new paranormed sequence spaces defined by Euler and difference operators

Abstract

The spaces Delta c(0)( p), Delta c( p) and Delta l(infinity)( p) were defined by Ahmad and Mursaleen [ 1]. In [ 2], Altay and Polat also defined the sequence spaces e(0)(T)(Delta), e(c)(T)(Delta) and e(infinity)(T)(Delta), and determined the absolute Kothe-Toeplitz duals of these spaces. The main purpose of this work is to introduce some new paranormed sequence spaces defined by Euler and difference operators and to compute their alpha-, beta-,.gamma-duals. Also some of the matrix transformations has been characterized.