Journal ArticleDOI
A Probabilistic Proof of the Weierstrass Approximation Theorem
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This article is published in American Mathematical Monthly.The article was published on 1984-04-01. It has received 24 citations till now. The article focuses on the topics: Weierstrass factorization theorem & Weierstrass functions.read more
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Weierstrass and Approximation Theory
TL;DR: Weierstrass as mentioned in this paper discusses and examines the main contributions to approximation theory and some of the consequences of these contributions, and discusses a story about the man and his life, what he contributed to approximation, and why.
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Numerical solution of fractional differential equations with a tau method based on legendre and bernstein polynomials
TL;DR: In this paper, the integratives of Bernstein polynomials of any degree and for any fractional-order in terms of B-polynomials themselves are expressed explicitly.
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Uniform approximation and Bernstein polynomials with coefficients in the unit interval
TL;DR: The mathematics presented here provides a necessary and sufficient test for deciding whether polynomial operations can be implemented with stochastic logic.
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Statistical convergence of Bernstein operators
TL;DR: In this article, the convergence of Bernstein polynomials has been studied in great detail and the concepts of statistical convergence of Berns t and VB−summability and related theorems have been introduced.
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The weierstrass approximation theorem and large deviations
Henryk Gzyl,José Luis Palacios +1 more
TL;DR: In this article, it was shown that the rate of convergence of the Bernstein polynomials to a function satisfying a Lipschitz condition is at least of order lnl/nl/3.