José A. Adell

most citedExplicit estimates for the Stirling numbers of the second kind

1 citations · 1 across the 3 of their papers we have counts for

collaborators

3 papers

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.CO2024★ 1 cited

Explicit estimates for the Stirling numbers of the second kind

José A. Adell

We give explicit estimates for the Stirling numbers of the second kind $S (n, m)$ . With a few exceptions, such estimates are asymptotically sharp. The form of these estimates varies…

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…