Approximation Properties of Generalized -Bernstein-Stancu-Type Operators

Abstract

The present study introduces generalized -Bernstein-Stancu-type operators with shifted knots. A Korovkin-type approximation theorem is given, and the rate of convergence of these types of operators is obtained for Lipschitz-type functions. Then, a Voronovskaja-type theorem was given for the asymptotic behavior for these operators. Finally, numerical examples and their graphs were given to demonstrate the convergence of Gm,α,βf,x to fx with respect to m values.