A New Class of Kantorovich-Type Operators

Abstract

The purpose of the paper called “A new class of Kantorovich-type operators”, as the title says, is to introduce a new class of Kantorovich-type operators with the property that the test functions $e_1$ and $e_2$ are reproduced. Furthermore, in our approach, an asymptotic type convergence theorem, a Voronovskaja type theorem and two error approximation theorems are given. As a conclusion, we make a comparison between the classical Kantorovich operators and the new class of Kantorovich - type operators.

Keywords

• Bernstein polynomials
• Kantorovich operators
• King operators
• fixed points

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