The Kantorovich variant of an operator defined by D. D. Stancu

Arun Kajla

Applied Mathematics and Computation, 2018, vol. 316, issue C, 400-408

Abstract: In this note we introduce Kantorovich variant of the operators considered by Stancu (1998) based on two nonnegative parameters. Here, we prove an approximation theorem with the help of Bohman–Korovkin’s principle and find the estimate of the rate of convergence by means of modulus of smoothness and Lipschitz type function for these operators. In the last section of the paper, we show the convergence of the operators by illustrative graphics in Mathematica to certain functions.

Keywords: Stancu operators; Global approximation; Rate of convergence; Modulus of continuity; A-statistical convergence; Kantorovich operators (search for similar items in EconPapers)
Date: 2018
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:316:y:2018:i:c:p:400-408

DOI: 10.1016/j.amc.2017.08.021

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