Approximation Properties of Generalized
λ
-Bernstein–Stancu-Type Operators
Keyword(s):
The present study introduces generalized λ -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 G m , λ α , β f , x to f x with respect to m values.
2018 ◽
Vol 38
(1)
◽
pp. 41-53
◽