On Tribonacci I -convergent sequence spaces

Abstract

In this paper, we use the notion of ideal convergence (\(I\)-convergence) to introduce Tribonacci \(I\)-convergent sequence spaces, that is, \(c_{_{0}}^{I} (T), c_{_{}}^{I} (T) \) and \(l_{_{\infty}}^{I} (T)\) as a domain of regular Tribonacci matrix \(T=(t_{jn})\) (constructed by the Tribonacci sequence). We also present few inclusion relations and prove some topological and algebraic properties based results with respect to these spaces.