The Durrmeyer variant of an operator defined by D.D. Stancu
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摘要
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.
论文关键词：Approximation by positive operators,Rate of convergence,Degree of approximation,Asymptotic approximations,Asymptotic expansions
论文评审过程：Available online 9 March 2015.
论文官网地址：https://doi.org/10.1016/j.amc.2015.02.026
