In this paper, we consider the problem of approximating a function by Bernstein-type polynomials that preserve the integral and non-negativity of the original function on the interval [0, 1], obtaining the Kantorovich-Bernstein polynomials, but providing a novel approach with advantages in numerical analysis. We then develop a Markov finite approximation method based on piecewise Bernstein-type polynomials for the computation of stationary densities of Markov operators, providing numerical results for piecewise constant and piecewise linear algorithms. © 2009 Taylor & Francis.
CITATION STYLE
Ding, J., Kolibal, J., & Rhee, N. H. (2009). Integral and non-negativity preserving Bernstein-type polynomial approximations. International Journal of Computer Mathematics, 86(5), 850–859. https://doi.org/10.1080/00207160701713599
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