The goal in the paper is to advertise Dunkl extension of Szász beta type operators. We initiate approximation features via acknowledged Korovkin and weighted Korovkin theorem and obtain the convergence rate from the point of modulus of continuity, second order modulus of continuity, the Lipschitz class functions, Peetre's K-functional and modulus of weighted continuity by Dunkl generalization of Szász beta type operators.
In this study, we introduce a Durrmeyer type of Bleimann, Butzer, and Hahn operators (BBH) on (p,q)-integers. We derive the some approximation properties for these operators. We also give some graphs and numerical examples to illustrate the convergence properties of these operators to certain functions.
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.
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