A study of Nörlund ideal convergent sequence spaces

Abstract

The Nörlund matrix Nt in the theory of sequence space was firstly used by Wang. In this paper, by using the Nörlund mean Nt and the notion of ideal convergence, we introduce some new sequence spaces cI 0(Nt), cI (Nt), and lI∞(Nt) as a domain of Nörlund mean. We study some topological and algebraic properties on these spaces. Further, some inclusion concerning these spaces are discussed.

Keywords

• nörlund matrix
• matrix transformation
• nörlund i-convergence
• nörlund i-cauchy
• nörlund i-bounded