A class of Markov type operators which preserve ej,j⩾1

Marius Mihai Birou

Applied Mathematics and Computation, 2015, vol. 250, issue C, 1-11

Abstract: In this paper we construct a class of Markov type operators which preserve ej,j⩾1. We give a recurrence relation for the moments of this operator and study the convergence. We show the uniform convergence of the derivative of order r⩾0 of the operator. A Voronovskaya formula and some inequalities are presented.

Keywords: Markov type operators; Bernstein–Durrmeyer operator; Moments; Uniform convergence; Voronovskaya formula; Convex functions (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:250:y:2015:i:c:p:1-11

DOI: 10.1016/j.amc.2014.10.078

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