Asymptotic expansions for Bernstein-Durrmeyer-Chlodovsky polynomials

DOI10.1007/S00025-018-0863-0zbMath1400.41014OpenAlexW2864685569WikidataQ115600851 ScholiaQ115600851MaRDI QIDQ1990797

Ulrich Abel, Harun Karsli

Publication date: 25 October 2018

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00025-018-0863-0

zbMATH Keywords

rate of convergenceasymptotic expansionsdegree of approximationapproximation by positive operators

Mathematics Subject Classification ID

Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Approximation by positive operators (41A36)

Related Items (6)

Approximation properties of a family of integral type operators ⋮ A complete extension of the Bernstein-Weierstrass theorem to the infinite interval \((-\infty,+\infty)\) via Chlodovsky polynomials ⋮ Approximation by generalized Baskakov Kantorovich operators of arbitrary order ⋮ A complete asymptotic expansion for Bernstein-Chlodovsky polynomials for functions on \(\mathbb{R}\) ⋮ A Voronovskaya-type result for simultaneous approximation by Bernstein-Chlodovsky polynomials ⋮ On Urysohn-Chlodovsky operators acting on functions defined over the real line

Cites Work

• The complete asymptotic expansion for Bernstein-Durrmeyer operators with Jacobi weights
• Complete asymptotic expansion for multivariate Bernstein-Durrmeyer operators and quasi-interpolants
• Complete Asymptotic Expansions for the Chlodovsky Polynomials
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