Uniform approximation and Bernstein polynomials with coefficients in the unit interval

DOI10.1016/j.ejc.2010.11.004zbMath1213.41003OpenAlexW1989100100MaRDI QIDQ627934

Marc D. Riedel, Weikang Qian, Ivo G. Rosenberg

Publication date: 4 March 2011

Published in: European Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ejc.2010.11.004

zbMATH Keywords

Bernstein polynomialsWeierstrass approximation theoremstochastic logic

Mathematics Subject Classification ID

Approximation by polynomials (41A10)

Related Items (6)

Numerical solutions of sixth order eigenvalue problems using Galerkin weighted residual method ⋮ Approximation with one-bit polynomials in Bernstein form ⋮ Laplace transform inversion using Bernstein operational matrix of integration and its application to differential and integral equations ⋮ Interpolation and Approximation of Continuous Functions with Values in the Unit Interval ⋮ Solutions of Volterra integral and integro-differential equations using modified Laplace Adomian decomposition method ⋮ Numerical inverse Laplace transform for solving a class of fractional differential equations

Cites Work

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• Robust arithmetic for multivariate Bernstein-form polynomials
• On the numerical condition of polynomials in Bernstein form
• A Probabilistic Proof of the Weierstrass Approximation Theorem
• Stochastic neural computation. I. Computational elements

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