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On a constructive proof of the Weierstrass theorem with a weight function on unbounded intervals

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Publication:1693354
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DOI10.1007/s00009-017-1011-xzbMath1381.41004OpenAlexW2761335702MaRDI QIDQ1693354

Theodore Kilgore

Publication date: 31 January 2018

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00009-017-1011-x


zbMATH Keywords

weighted approximationErdős weightsBernstein-Chlodovsky operator


Mathematics Subject Classification ID

Approximation by polynomials (41A10) Approximation by positive operators (41A36)


Related Items (4)

On weighted uniform boundedness and convergence of the Bernstein-Chlodovsky operators ⋮ A complete extension of the Bernstein-Weierstrass theorem to the infinite interval \((-\infty,+\infty)\) via Chlodovsky polynomials ⋮ A complete asymptotic expansion for Bernstein-Chlodovsky polynomials for functions on \(\mathbb{R}\) ⋮ On Urysohn-Chlodovsky operators acting on functions defined over the real line



Cites Work

  • Approximation by Bernstein type rational functions. II
  • Approximation by Bernstein type rational functions


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