A New RH-Regular Matrix Derived by Jordan’s Function and Its Domains on Some Double Sequence Spaces

Abstract

In the present study, we introduce a new RH-regular 4D (4-dimensional) matrix derived by Jordan’s function and define double sequence spaces by using domains of 4D Jordan totient matrix ${\mathfrak{J}}^t$ on some classical double sequence spaces. Also, the $\alpha$ -, $\beta \left(\vartheta \right)$ -, and $\gamma$ -duals of these spaces are determined. Finally, some classes of 4D matrices on these spaces are characterized.