Approximation of Holder Continuous Functions by Bernstein Polynomials

DOI10.2307/2589469zbMath0983.41007OpenAlexW4253366750MaRDI QIDQ2757386

Peter Mathé

Publication date: 26 November 2001

Published in: The American Mathematical Monthly (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2589469

zbMATH Keywords

degree of approximationBernstein operatorspresentation of Lipschitz classes

Mathematics Subject Classification ID

Approximation by polynomials (41A10) Rate of convergence, degree of approximation (41A25) Approximation by other special function classes (41A30)

Related Items (5)

Bernstein-type approximation of set-valued functions in the symmetric difference metric ⋮ On the convergence of Kantorovich operators in Morrey spaces ⋮ On modified Chebyshev polynomials ⋮ An order-statistics-based method for constructing multivariate distributions with fixed margin\-als ⋮ Simultaneous approximation by Bernstein operators in Hölder norms

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