A New Class of Kantorovich-Type Operators

Year 2020, Volume: 3 Issue: 3, 116 - 124, 14.09.2020

Adrian Indrea Anamaria Indrea Ovıdıu T. Pop

https://doi.org/10.33205/cma.773424

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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