A complete extension of the Bernstein-Weierstrass Theorem to the infinite interval (- infinity,+ infinity ) via Chlodovsky polynomials

摘要

In the present paper, we consider the very recently introduced Chlodovsky operators on the real line by Abel and Karsli (Mediterr J Math 17:201, 2020). We study some approximation properties of these new operators, which include the rate of convergence and a Voronovskaya type theorem.