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arXiv · 1508.06933

Non-uniform non-asymptotical sharp estimate for the rate of convergence for Bernstein's polynomial approximation, with bilateral constant evaluation

Eugene Ostrovsky·Leonid Sirota
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Abstract

We derive the non-asymptotical non-uniform sharp error estimation for Bernstein's approximation of continuous function based on the modern probabilistic apparatus. We investigate also the convergence of derivative of these polynomials and we will consider briefly also the multivariate case.

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Eugene Ostrovsky, Leonid Sirota. 2015-08-27. Non-uniform non-asymptotical sharp estimate for the rate of convergence for Bernstein's polynomial approximation, with bilateral constant evaluation. https://arxiv.org/abs/1508.06933

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