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We construct Stancu-type Bernstein operators based on Bezier bases with shape parameterλ ∈ [ - 1 , 1 ]and calculate their moments. The uniform convergence of the operator and global approximation result by means of Ditzian-Totik modulus of smoothness are established. Also, we establish the direct approximation theorem with the help of second order modulus of smoothness, calculate the rate of convergence via Lipschitz-type function, and discuss the Voronovskaja-type approximation theorems. Finally, in the last section, we construct the bivariate case of Stancu-type    λ   -Bernstein operators and study their approximation behaviors.

Construction of Stancu-Type Bernstein Operators Based on Bézier Bases with Shape Parameter λ