On the Asymptotic Behavior of Sequences of Positive Linear Approximation Operators

DOI10.1007/978-3-319-31281-1_11zbMath1370.41042OpenAlexW2491210878MaRDI QIDQ5348509

Ioan Gavrea, Mircea Ivan

Publication date: 18 August 2017

Published in: Mathematical Analysis, Approximation Theory and Their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-31281-1_11

zbMATH Keywords

rate of convergenceasymptotic expansionBernstein operatorscentral momentsleast concave majorantpositive linear operatorsDurrmeyer operatorsMamedov propertyvoronovsakja type formulas

Mathematics Subject Classification ID

Approximation by positive operators (41A36)

Cites Work

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• An answer to a conjecture on Bernstein operators
• The complete asymptotic expansion for Bernstein operators
• Sur l'approximation de fonctions intégrables sur l'interval-0,1-ferme par des polynômes de Bernstein modifies
• Properties of the modulus of continuity for monotonous convex functions and applications
• The Bernstein Voronovskaja-type theorem for positive linear approximation operators
• On the rate of approximation of functions by the Bernstein polynomials

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