In this paper, we introduce the Bézier variant of Kantorovich type -Bernstein operators with parameter [Formula: see text]. We establish a global approximation theorem in terms of second order modulus of continuity and a direct approximation theorem by means of the Ditzian-Totik modulus of smoothness. Finally, we combine the Bojanic-Cheng decomposition method with some analysis techniques to derive an asymptotic estimate on the rate of convergence for some absolutely continuous functions.
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| http://dx.doi.org/10.1186/s13660-018-1688-9 | DOI Listing |
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