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.
Full PDF
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 |
Recently posted
-
The approximate solution of the general split variational inequality problem by intermixed iteration
-
Collectively coincidence results for lower semicontinuous multifunctions in locally convex spaces
-
Second-order necessary conditions for bilevel programs via KKT reformulation
-
An inertial method for solving the split equality fixed point problem with multiple output sets
-
Asymptotic modeling of non-linear viscopiezoelectric Kelvin-Voigt type plates via Trotter theory
-
Properties of isocompact spaces in topological groups
-
Two generalized cyclic projection algorithms for solving a class of the split feasibility problem in real Hilbert spaces
-
Global-fixed-point property of gyrogroup actions
-
On simple normal structure and best proximity points in reflexive Banach space
-
Unified Convergence Analysis of Certain At Least Fifth Order Methods