Given a submodular capacity space, we firstly obtain a quantitative estimate for the uniform convergence in the Choquet 
-mean, 
, 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.
Approximation of random functions by stochastic Bernstein polynomials in capacity spaces
Gal, Sorin G. and Niculescu, Constantin P.
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carpathian_2021_37_2_185_194Additional Information
| Author(s) | Gal, Sorin G., Niculescu, Constantin P. |
|---|---|
| DOI | https://doi.org/10.37193/CJM.2021.02.04 |
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