On Some New Normed Narayana Sequence Spaces

In this paper, we first establish the regular matrix N using Narayana numbers. Then, we create new normed sequence spaces $Z(N)$ using the matrix N and demonstrate that these spaces are linearly isomorphic to Z where Z∈₀, c, ₚ, _∞\. Additionally, we provide inclusion relations for the spaces c₀(N), $c(N)$, ₚ(N), and _∞(N). Furthermore, we construct the Schauder bases of the c₀(N), $c(N)$, and ₚ(N). Finally, we compute the α-, β-, and γ-duals of these spaces and characterize the classes $(Z(N),X)$ for the certain choice of the sequence space X.