On (p, q)-analogue of Kantorovich type Bernstein–Stancu–Schurer operators

Qing-Bo Cai and Guorong Zhou

Applied Mathematics and Computation, 2016, vol. 276, issue C, 12-20

Abstract: In this paper, we introduce a new kind of Kantorovich-type Bernstein–Stancu–Schurer operators based on the concept of (p, q)-integers. We investigate statistical approximation properties and establish a local approximation theorem, we also give a convergence theorem for the Lipschitz continuous functions. Finally, we give some graphics and numerical examples to illustrate the convergence properties of operators to some functions.

Keywords: (p q)-integers; Bernstein–Stancu–Schurer operators; A-statistical convergence; Rate of convergence; Lipschitz continuous functions (search for similar items in EconPapers)
Date: 2016
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:276:y:2016:i:c:p:12-20

DOI: 10.1016/j.amc.2015.12.006

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