Der Wert einiger Konstanten in der Theorie der Approximation mit Bernstein-Polynomen

DOI10.1007/BF01386008zbMath0099.04701MaRDI QIDQ773769

P. C. Sikkema

Publication date: 1961

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/131480

zbMATH Keywords

approximation and series expansion

Related Items (25)

Gaussian formulae for the calculation of Cauchy principal value integrals and their convergence ⋮ Convergence of positive linear approximation processes ⋮ On the approximation of functions in \(C^1 ( I )\) by a class of positive linear operators ⋮ On the constants in Videnskiĭ type inequalities for Bernstein operators ⋮ Estimates related to the iterates of positive linear operators and their multidimensional analogues ⋮ Bernstein polynomial distribution estimators and the Dvoretzky–Kiefer–Wolfowitz inequality ⋮ Distribution function estimates by Wasserstein metric and Bernstein approximation for \(C^{-1}\) functions ⋮ Sampling scattered data with Bernstein polynomials: stochastic and deterministic error estimates ⋮ Addition to the Popoviciu theorem ⋮ A Single Hidden Layer Feedforward Network with Only One Neuron in the Hidden Layer Can Approximate Any Univariate Function ⋮ On probabilistic convergence rates of stochastic Bernstein polynomials ⋮ Uniform approximation with radical functions ⋮ An error estimate for a Bernstein-Stancu operator with negative parameter ⋮ An improvement of the constant in Videnskiĭ's inequality for Bernstein polynomials ⋮ Chebyshev type inequality for stochastic Bernstein polynomials ⋮ Stochastic Bernstein polynomials: uniform convergence in probability with rates ⋮ The best asymptotic constant of a class of approximation operators ⋮ Generalized Bernstein operators on the classical polynomial spaces ⋮ The degree of local approximation of functions in \(C_1[0,1\) by Bernstein polynomials] ⋮ Rate of convergence of Bernstein polynomials for functions with derivatives of bounded variation ⋮ Optimal stochastic Bernstein polynomials in Ditzian-Totik type modulus of smoothness ⋮ Better numerical approximation by Durrmeyer type operators ⋮ On the rate of convergence of Bernstein polynomials of functions of bounded variation ⋮ Stochastic quasi-interpolation with Bernstein polynomials ⋮ Set-valued extension of operators via Steiner selections. II: Applications to approximation.

Cites Work

• Über den Grad der Approximation mit Bernstein-Polynomen
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