τ‐Bézier–Bernstein‐Integral Type Operators

ABSTRACT This work introduces ‐Bézier–Bernstein‐integral type operators, along with local approximation results, a direct approximation theorem that leverages the Ditzian–Totik modulus of smoothness, and a quantitative Voronovskaja‐type theorem using the Ditzian–Totik modulus of continuity. Additionally, we derive the convergence rate for differential functions with bounded variation in their derivatives. Ultimately, we demonstrate numerical examples that validate the theoretical results and showcase the effectiveness of the defined operators.