Approximation of random functions by stochastic Bernstein polynomials in capacity spaces

被引：1

作者：

Gal, Sorin G. ^{[1
]}

Niculescu, Constantin P. ^{[2
]}

机构：

[1] Univ Oradea, Dept Math & Comp Sci, Univ 1, Oradea 410087, Romania

[2] Univ Craiova, Dept Math, Craiova 200585, Romania

来源：

CARPATHIAN JOURNAL OF MATHEMATICS | 2021年 / 37卷 / 02期

关键词：

Choquet integral; submodular rapacity; random Bernstein polynomials; approximation in Choquet p-mean; approximation in capacity; Choquet L-p-modulus of continuity; CONVERGENCE; OPERATORS; UNIFORM;

D O I：

10.37193/CJM.2021.02.04

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Given a submodular capacity space, we firstly obtain a quantitative estimate for the uniform convergence in the Choquet p-mean, 1 <= p < infinity, of the multivariate stochastic Bernstein polynomials associated to a random function. Also, quantitative estimates concerning the uniform convergence in capacity in the univariate case are given.

引用

页码：185 / 194

页数：10

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