Inequalities and reverse inequalities for the joint A-numerical radius of operators

In this paper, we aim to establish several estimates concerning the generalized Euclidean operator radius of d-tuples of A-bounded linear operators acting on a complex Hilbert space (Formula presented.), which leads to the special case of the well-known A-numerical radius for (Formula presented.). Here, A is a positive operator on (Formula presented.). Some inequalities related to the Euclidean operator A-seminorm of d-tuples of A-bounded operators are proved. In addition, under appropriate conditions, several reverse bounds for the A-numerical radius in single and multivariable settings are also stated