A New Class of Kantorovich-Type Operators

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Constructive Mathematical Analysis
Volume:3 Issue:3
A New Class of Kantorovich-Type Operators

A New Class of Kantorovich-Type Operators

Authors : Adrian INDREA, Anamaria INDREA, Ovıdıu T POP

Pages : 116-124

Doi:10.33205/cma.773424

View : 16 | Download : 11

Publication Date : 2020-09-14

Article Type : Research Paper

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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