Generalized Bernstein–Durrmeyer operators of blending type
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Date
2019
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Publisher
Afrika Matematika
Abstract
In this note, we derive some approximation properties of the generalized
Bernstein-Kantorovich-type operators based on two nonnegative parameters consid-
ered by A. Kajla [Appl. Math. Comput. 2018]. We establish a Voronovskaja-type
asymptotic theorem for these operators. The rate of convergence for differential func-
tions whose derivatives are of bounded variation is also derived. Finally, we show the
convergence of the operators to certain functions by illustrative graphics using Mathe-
matica software.
Description
Keywords
Approximation; Bernstein-Kantorovich type operators; convergence.