Estimates of positive linear operators in terms of second-order moduli

DOI10.1016/J.JMAA.2008.04.017zbMath1143.41006OpenAlexW2005257781MaRDI QIDQ930992

Jorge Bustamante González

Publication date: 24 June 2008

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2008.04.017

zbMATH Keywords

Bernstein operatormodulus of smoothnesspositive operatorsconcave functions

Mathematics Subject Classification ID

Functional calculus for linear operators (47A60) Equations and inequalities involving linear operators, with vector unknowns (47A50) Approximation by positive operators (41A36)

Related Items (8)

Towards the best constant in front of the Ditzian-Totik modulus of smoothness ⋮ Quantitative estimates for positive linear operators in terms of the usual second modulus ⋮ Asymptotic and non-asymptotic results in the approximation by Bernstein polynomials ⋮ Random linear operators arising from piecewise linear interpolation on the unit interval ⋮ Estimates in direct inequalities for the Szász-Mirakyan operator ⋮ Direct and strong converse theorems for a general sequence of positive linear operators ⋮ Yet another look at positive linear operators, \(q\)-monotonicity and applications ⋮ Optimal stochastic Bernstein polynomials in Ditzian-Totik type modulus of smoothness

Cites Work

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• Mathematical expectation of continuous functions of random variables. Smoothness and variance
• Direct and inverse estimates for Bernstein polynomials
• Direct estimate for Bernstein polynomials
• Upper estimates in direct inequalities for Bernstein-type operators

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