Asymptotic properties of Bernstein-Durrmeyer operators

DOI10.1007/s00025-015-0482-yzbMath1339.30014OpenAlexW1176901402MaRDI QIDQ287294

Xiao-Wei Xu, Xiao-Ming Zeng

Publication date: 26 May 2016

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00025-015-0482-y

zbMATH Keywords

asymptotic expansionoperator semigroupsBernstein-Durrmeyer operatorsSzász-Durrmeyer operator

Mathematics Subject Classification ID

Approximation by operators (in particular, by integral operators) (41A35) Asymptotic representations in the complex plane (30E15)

Related Items (1)

Applications of the Shorgin identity to Bernstein type operators

Cites Work

• Two families of Bernstein-Durrmeyer type operators
• The limiting semigroup of the genuine Bernstein-Durrmeyer iterates
• Approximation-theoretic aspects of probabilistic representations for operator semigroups
• Sur l'approximation de fonctions intégrables sur l'interval-0,1-ferme par des polynômes de Bernstein modifies
• A note on limiting properties of some Berstein-type operators
• Approximating Szász and gamma operators by Bashkakov operators
• Approximation properties of Bernstein-Durrmeyer type operators
• Bernstein-Durrmeyer operators
• On convergence rates in approximation theory for operator semigroups
• Complete asymptotic expansion for multivariate Bernstein-Durrmeyer operators and quasi-interpolants
• On the approximation to some limiting distributions
• SHARP INEQUALITIES FOR FACTORIAL n
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Asymptotic properties of Bernstein-Durrmeyer operators