GENERALIZED BERNSTEIN-KANTOROVICH OPERATORS OF BLENDING TYPE

Arun Kajla

DOI Number
https://doi.org/10.22190/FUMI1903491K
First page
491
Last page
502

Abstract


In this note, we derive some approximation properties of the generalized Bernstein-Kantorovich type operators based on two nonnegative parameters considered  by A. Kajla [Appl. Math. Comput. 2018]. We establish Voronovskaja type asymptotic theorem for these operators. The rate of convergence for differential functions whose derivatives are of bounded variation is also derived. Finally, we show the convergence of the operators by illustrative graphics in Mathematica software to certain functions.

Keywords

Approximation; Bernstein-Kantorovich type operators; convergence.

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References


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DOI: https://doi.org/10.22190/FUMI1903491K

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