On (p, q)-analogue of Bernstein operators

M. Mursaleen, Khursheed J. Ansari and Asif Khan

Applied Mathematics and Computation, 2015, vol. 266, issue C, 874-882

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

Keywords: (p, q)-Bernstein operator; Modulus of continuity; Positive linear operator; Korovkin 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:266:y:2015:i:c:p:874-882

DOI: 10.1016/j.amc.2015.04.090

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