Approximation properties of Bernstein-Kantorovich type operators of two variables

Abstract

In this study, the generalized Bernstein-Kantorovich type operators

are introduced and some approximation properties of these operators

are studied in the space of continuous functions of two variables on

a compact set . The convergence rate of these operators are obtained by

means of the modulus of continuity. The Voronovskaya type theorem is

given and some differential properties of these operators are proved.

Keywords

• Bernstein-Kantorovich operators,modulus of continuity,Voronovskaya type theorem

References

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