J. Adell

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20242026

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math.CA2024

On the rates of pointwise convergence for Bernstein polynomials

JosÃ© A. Adell, Daniel CÃ¡rdenas-Morales, Antonio J. LÃ³pez-Moreno

Let $f$ be a real function defined on the interval $[0, 1]$ which is constant on $(a, b) \subset [0, 1]$ , and let $B_{n} f$ be its associated $n$ th Bernstein polynomial. We prove that, fo…

math.CA2024

Strong Converse Inequalities for Bernstein Polynomials with Explicit Asymptotic Constants

We obtain strong converse inequalities for the Bernstein polynomials with explicit asymptotic constants. We give different estimation procedures in the central and non-central regi…