GENERALIZED BERNSTEIN-KANTOROVICH OPERATORS OF BLENDING TYPE

In this note, we derive some approximation properties of the generalized Bernstein-Kantorovich type operators based on two nonnegative parameters considered  by A. Kajla [Appl. Math. Comput. 2018]. We establish Voronovskaja type asymptotic theorem for these operators. The rate of convergence for differential functions whose derivatives are of bounded variation is also derived. Finally, we show the convergence of the operators by illustrative graphics in Mathematica software to certain functions

Approximation of Functions by Lupas-Kantorovich- Stancu Type Operators based on Polya Distribution

In this paper, we introduce a two parameter generalization of Lupas-Kantorovich operators based on Polya distribution. We obtain the moments of the operators by deriving a recurrence relation and then prove and study Voronovskaja-type asymptotic theorem, local approximation, weighted approximation, rate of convergence and pointwise estimates using the Lipschitz type maximal function