On the Asymptotic Behavior of Sequences of Positive Linear Approximation Operators

Ioan Gavrea () and Mircea Ivan ()
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Ioan Gavrea: Technical University of Cluj Napoca
Mircea Ivan: Technical University of Cluj Napoca

A chapter in Mathematical Analysis, Approximation Theory and Their Applications, 2016, pp 267-280 from Springer

Abstract: Abstract We provide an analysis of the rate of convergence of positive linear approximation operators defined on C[0, 1]. We obtain a sufficient condition for a sequence of positive linear approximation operators to possess a Mamedov-type property and give an application to the Durrmeyer approximation process.

Keywords: Asymptotic expansion; Bernstein operators; Central moments; Durrmeyer operstors; Least concave majorant; Mamedov property; Positive linear operators; Rate of convergence; Voronovsakja type formulas (search for similar items in EconPapers)
Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:spr:spochp:978-3-319-31281-1_11

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DOI: 10.1007/978-3-319-31281-1_11

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