Stochastic quasi-interpolation with Bernstein polynomials
type: Item
instance of: scholarly article
title: Stochastic quasi-interpolation with Bernstein polynomials
author: Xingping Sun
author: Xuan Zhou
published in: Mediterranean Journal of Mathematics
publication date: 2022-10-28T00:00:00Z
Mathematics Subject Classification ID: 60G20
Mathematics Subject Classification ID: 60H30
Mathematics Subject Classification ID: 41A17
Mathematics Subject Classification ID: 41A35
zbMATH DE Number: 7609396
zbMATH Keywords: Dvoretzky-Kiefer-Wolfowitz inequality
zbMATH Keywords: modulus of continuity
zbMATH Keywords: order statistics
zbMATH Keywords: stochastic quasi-interpolation
MaRDI profile type: Publication
full work available at URL: s00009-022-02150-y
OpenAlex ID: W4296343841
cites work: Stochastic Bernstein polynomials: uniform convergence in probability with rates
cites work: A Distribution-Free Upper Confidence Bound for $\Pr \{Y &lt; X\}$, Based on Independent Samples of $X$ and $Y$
cites work: One-dimensional empirical measures, order statistics, and Kantorovich transport distances
cites work: Q4907706
cites work: Distribution of points on spheres and approximation by zonotopes
cites work: Approximation of zonoids by zonotopes
cites work: Approximating the ball by a Minkowski sum of segments with equal length
cites work: Q4947463
cites work: Q3878441
cites work: Q3319163
cites work: On the mathematical foundations of learning
cites work: Learning Theory
cites work: Order Statistics
cites work: Strong converse inequalities
cites work: Q3817079
cites work: Asymptotic Minimax Character of the Sample Distribution Function and of the Classical Multinomial Estimator
cites work: Q4321669
cites work: Approximation theory in random setting
cites work: Approximation of random functions by stochastic Bernstein polynomials in capacity spaces
cites work: Multivariate Monte Carlo Approximation Based on Scattered Data
cites work: The Bernstein Voronovskaja-type theorem for positive linear approximation operators
cites work: Q4315800
cites work: Q3774645
cites work: Q5819609
cites work: The tight constant in the Dvoretzky-Kiefer-Wolfowitz inequality
cites work: Q5650752
cites work: On the sub-Gaussianity of the beta and Dirichlet distributions
cites work: Q4066324
cites work: Q4185576
cites work: Der Wert einiger Konstanten in der Theorie der Approximation mit Bernstein-Polynomen
cites work: Über den Grad der Approximation mit Bernstein-Polynomen
cites work: Chebyshev type inequality for stochastic Bernstein polynomials
cites work: On probabilistic convergence rates of stochastic Bernstein polynomials
cites work: Approximation by Bernstein Polynomials
cites work: Q4091285
cites work: On a new method for constructing good point sets on spheres
cites work: Sampling scattered data with Bernstein polynomials: stochastic and deterministic error estimates
cites work: Polynomial convergence order of stochastic Bernstein approximation
DOI: 10.1007/S00009-022-02150-Y
description: scientific article; zbMATH DE number 7609396