Upper Bounds for Bernstein Basis Functions

DOI10.1007/978-3-642-33549-5_17zbMath1270.41008OpenAlexW7739424MaRDI QIDQ2838150

T.Shervashidze, Vijay Gupta

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

zbMATH Keywords

binomial coefficientsBernstein basis functions for approximation operatorsinequalities for concentration functionsMarkov boundsRogozin's inequalityZeng's upper bounds

Mathematics Subject Classification ID

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

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• 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

This page was built for publication: Upper Bounds for Bernstein Basis Functions