Srivastava, H. M.Özger, FarukMohiuddine, S.A.2019-03-272019-03-2720192019Srivastava, H.M., Özger, F. & Mohiuddine, S.A. (2019). Construction of Stancu-Type Bernstein Operators Based on Bézier Bases with Shape Parameter λ. Symmetry, 11(3), 316. https://doi.org/10.3390/sym11030316http://dx.doi.org/10.3390/sym11030316http://hdl.handle.net/1828/10669We construct Stancu-type Bernstein operators based on Bézier bases with shape parameter λ∈[−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.enStancu-type Bernstein operatorsB�zier basesVoronovskaja-type theoremsmodulus of continuityrate of convergencebivariate operatorsapproximation propertiesArticleDepartment of Mathematics and Statistics