Generalized Bernstein-type approximation of continuous functions

2016/08/01 by E. Ostrovsky, Eugene Ostrovsky, Ostrovsky, Eugene +3
Computer Science · Mathematics · #Approximation Theory and Sequence Spaces #FOS: Mathematics #Functional Analysis (math.FA) #Image and Signal Denoising Methods #Mathematical Approximation and Integration #math.FA

paper · pdf · doi:10.48550/arxiv.1608.00295

arxiv created 2016/08/01 · openalex publication_date 2016/08/01 · arxiv updated 2016/08/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We derive in this short article the non-asymptotical non-uniform sharp error estimation for the Bernstein's type approximation of continuous function based on the modern probabilistic apparatus.

Citations

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

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