A Voronovskaya-type theorem for the second derivative of the Bernstein–Chlodovsky polynomials

DOI10.3176/PROC.2012.1.02zbMath1245.41006OpenAlexW2314134006MaRDI QIDQ2896355

Harun Karsli

Publication date: 16 July 2012

Published in: Proceedings of the Estonian Academy of Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3176/proc.2012.1.02

zbMATH Keywords

Voronovskaya-type theoremsBernstein-Chlodovsky polynomials

Mathematics Subject Classification ID

Rate of convergence, degree of approximation (41A25) Approximation by positive operators (41A36)

Related Items (9)

Degree of approximation for bivariate Chlodowsky-Szasz-Charlier type operators ⋮ Unnamed Item ⋮ A complete extension of the Bernstein-Weierstrass theorem to the infinite interval \((-\infty,+\infty)\) via Chlodovsky polynomials ⋮ A Voronovskaya-type theorem for the first derivatives of positive linear operators ⋮ Bivariate Bernstein Chlodovsky Operators Preserving Exponential Functions and Their Convergence Properties ⋮ Complete Asymptotic Expansions for the Chlodovsky Polynomials ⋮ Some approximation properties of Szasz-Mirakyan-Bernstein operators of the Chlodovsky type ⋮ A better error estimation on Balázs operators ⋮ A Voronovskaya-type result for simultaneous approximation by Bernstein-Chlodovsky polynomials

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