Some approximation results for Stancu type Lupaş–Schurer operators based on (p, q)-integers

K. Kanat and M. Sofyalıoğlu

Applied Mathematics and Computation, 2018, vol. 317, issue C, 129-142

Abstract: In the present paper, we introduce the Stancu type generalisation of Lupaş–Schurer operators based on (p, q)-integers. We are concerned with the basic convergence of the constructed operators based on Korovkin’s type approximation theorem. Further, we obtain the rate of convergence for the new operators in terms of the modulus of continuity, with the help of functions of Lipschitz class and Peetre’s K-functionals. Then, we present three significant numerical mathematical algorithms. Finally, in order to confirm our theoretical results we obtain error estimation and illustrate the convergence of the (p, q)-Lupaş–Schurer–Stancu operators to certain functions by using MATLAB.

Keywords: (p, q)-integers; Lupaş operators; Korovkin type approximation theorem; Modulus of continuity; Functions of Lipschitz class; Peetre’s K-functionals (search for similar items in EconPapers)
Date: 2018
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:317:y:2018:i:c:p:129-142

DOI: 10.1016/j.amc.2017.08.046

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