Upper Bounds for Bernstein Basis Functions
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Publication:2838150
DOI10.1007/978-3-642-33549-5_17zbMath1270.41008OpenAlexW7739424MaRDI QIDQ2838150
Publication date: 8 July 2013
Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-3-642-33549-5_17
binomial coefficientsBernstein basis functions for approximation operatorsinequalities for concentration functionsMarkov boundsRogozin's inequalityZeng's upper bounds
Inequalities; stochastic orderings (60E15) Sums of independent random variables; random walks (60G50) Approximation by positive operators (41A36) Best constants in approximation theory (41A44)
Cites Work
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- Local approximation by a variant of Bernstein-Durrmeyer operators
- On simultaneous approximation of the Bernstein Durrmeyer operators
- On the rate of convergence of the Durrmeyer operator for functions of bounded variation
- Estimates for the rapid decay of concentration functions of \(n\)-fold convolutions
- Bounds for Bernstein basis functions and Meyer-König and Zeller basis functions
- A Remark on Stirling's Formula
- On the Concentration Function
- Convexité, complète monotonie et inégalités sur les fonctions zèta et gamma, sur les fonctions des opérateurs de Baskakov et sur des fonctions arithmétiques
- On the concentration function of a sum of independent random variables
- Exact bounds for some basis functions of approximation operators
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