On some new seminormed sequence spaces defined by modulus functions

Abstract

In this paper we introduce the sequence spaces l?(f, p, ?, q, s), c0(f, p, ?, q, s) and c(f, p, ?, q, s) using a modulus function f and defined over a seminormed space (X, q), seminormed by q. We study some properties of these sequence spaces and obtain some inclusion relations. © 2006 by the University of Notre Dame. All rights reserved.