Approximation properties of Bernstein-Kantorovich type operators of two variables

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Date

2019-08-01

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Ankara Üniversitesi Fen Fakültesi

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.

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Keywords

Bernstein-Kantorovich operators, Modulus of continuity, Voronovskaya type theorem

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