Daniel Cárdenas-Morales

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20232025

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math.CA2024

On the rates of pointwise convergence for Bernstein polynomials

José A. Adell, Daniel Cárdenas-Morales, Antonio J. López-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

José A. Adell, Daniel Cárdenas-Morales

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…

math.CA2023

Strong Converse Inequalities for Bernstein Operators via Krawtchouk Polynomials

José A. Adell, Daniel Cárdenas-Morales

We obtain strong converse inequalities for the Bernstein operators with explicit constants. One of the main ingredients in our approach is the representation of the derivatives of…