Δ^m-Ideal Convergence

Statistical convergence has several applications in different fields of Mathematics: Number theory, trigonometric series, summability theory, probability theory, measure theory, optimization and approximation theory. The notion of ideal convergence corresponds to a generalization of the statistical convergence. In this paper, we define the Δ^{m}(c_{I}) spaces by using generalized sequence spaces and ideal convergence. Furthermore we establish some topological results and give inclusion relation between Δ^{m}(w_{p}^{T})-convergence and Δ^{m}-ideal convergence.