A Study of Nörlund Ideal Convergent Sequence Spaces


Vakeel A. Khan, Sameera A. A. Abdullah, Kamal M. A. S. Alshlool




The Nörlund matrix $N^t$ in the theory of sequence space was firstly used by Wang. In this paper, by using the Nörlund mean $N^t$ and the notion of ideal convergence, we introduce some new sequence spaces $$c_0^I(N^t)$, $c^I(N^t)$ and $c_{ıfty}^I(N^t)$ as a domain of Nörlund mean. We study some topological and algebraic properties on these spaces. Further, some inclusion concerning these spaces are discussed.