Given a submodular capacity space, we firstly obtain a quantitative estimate for the uniform convergence in the Choquet p-mean, 1\le p<\infty, 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.

Additional Information

Author(s)

 Gal,  Sorin G., Niculescu, Constantin P.

DOI

https://doi.org/10.37193/CJM.2021.02.04