Some approximation results by (p, q)-analogue of Bernstein–Stancu operators

M. Mursaleen, Khursheed J. Ansari and Asif Khan

Applied Mathematics and Computation, 2015, vol. 264, issue C, 392-402

Abstract: In this paper, we introduce a new analogue of Bernstein–Stancu operators based on (p, q)-integers which we call as (p, q)-Bernstein–Stancu operators. We study approximation properties for these operators based on Korovkin’s type approximation theorem and also study some direct theorems. Furthermore, we give comparisons and some illustrative graphics for the convergence of operators to some function.

Keywords: (p, q)-integers; Bernstein–Stancu operators; q-Bernstein–Stancu operators; Modulus of continuity; Positive linear operator; Korovkin’s type approximation theorem (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (7)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:264:y:2015:i:c:p:392-402

DOI: 10.1016/j.amc.2015.03.135

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