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

Ulrich Abel, Mircea Ivan and Radu Păltănea

Applied Mathematics and Computation, 2015, vol. 259, issue C, 116-123

Abstract: In 1984 D.D. Stancu defined a sequence of positive linear operators generalizing the Bernstein polynomials. In this paper a Durrmeyer variant of these operators is considered. We derive some basic approximation properties and present a complete asymptotic expansion for the sequence of these operators. All coefficients are calculated in a concise form.

Keywords: Approximation by positive operators; Rate of convergence; Degree of approximation; Asymptotic approximations; Asymptotic expansions (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:259:y:2015:i:c:p:116-123

DOI: 10.1016/j.amc.2015.02.026

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