Certain aspects of rough deferred statistical cluster points in normed linear spaces

For any real valued sequence x = (xk), the number ? is called deferred statistical cluster point of x, provided that for every ? > 0, the set {p(n) < k ? q(n) : |xk ? ?|< ?} have a non-zero deferred density, where p = (p(n)) and q = (q(n)) are the sequence of non-negative integers satisfying p(n) < q(n) and lim n??q(n) = ?. In the present article, we introduce and investigate the concept of rough deferred statistical cluster points in a normed linear space. Several fundamental properties are established, and significant inclusion relations are derived, enhancing the theoretical framework of statistical convergence.