On Some New Generalized Difference Sequence Spaces Defined By A Modulus Function

Abstract

In this paper we introduces the new generalized difference sequences spaces  , , , , , 0 E p f V ru          E p f V ru , , , , 1          E p f V ru , , , , ,         ,   E S ru ,    and   E S ru , 0    (where E is any Banach space) which arise from the notion of generalized de la ValleePoussin means and the concept of modulus function. We also give some inclusion relations between these spaces.