Approximation by a new Schurer type Stancu Operators and Associated GBS

This study presents a novel extension of the Schurer type Stancu operators and investigates their properties in terms of approximation. By utilizing the renowned Korovkin theorem and the convergence rate expressed in terms of the modulus of continuity, we achieve a uniform approximation outcome. Next, we demonstrate the theorems known as Grüss-Voronovskaja. Furthermore, we establish the corresponding generalized Boolean sum (GBS) operators and evaluate the convergence rate using the mixed modulus of smoothness. In addition, we provide several numerical and visual illustrations for both.