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Universalium. 2010.
Weierstrass approximation theorem — Math. the theorem that for any continuous function on a closed interval, there is a polynomial such that the difference in values of the function and the polynomial at each point in the interval is less in absolute value than some positive number … Useful english dictionary
Weierstrass theorem — Several theorems are named after Karl Weierstrass. These include: *The Weierstrass approximation theorem, also known as the Stone Weierstrauss theorem *The Bolzano Weierstrass theorem, which ensures compactness of closed and bounded sets in R n… … Wikipedia
Weierstrass transform — In mathematics, the Weierstrass transform [Ahmed I. Zayed, Handbook of Function and Generalized Function Transformations , Chapter 18. CRC Press, 1996.] of a function f : R rarr; R is the function F defined by:F(x)=frac{1}{sqrt{4piint {… … Wikipedia
Weierstrass — n. family name; Karl Wilhelm Theodor Weierstrass (1815 1897), German Mathematician, developer of the Weierstrass approximation theorem … English contemporary dictionary
Mergelyan's theorem — is a famous result from complex analysis, a branch of mathematics, named after the Armenian mathematician Sergei Nikitovich Mergelyan (May 19, 1928 August 20, 2008) and was put forward by him in 1951. It states the following: Let K be a compact… … Wikipedia
Stone–Weierstrass theorem — In mathematical analysis, the Weierstrass approximation theorem states that every continuous function defined on an interval [ a , b ] can be uniformly approximated as closely as desired by a polynomial function. Because polynomials are the… … Wikipedia
Brouwer fixed point theorem — In mathematics, the Brouwer fixed point theorem is an important fixed point theorem that applies to finite dimensional spaces and which forms the basis for several general fixed point theorems. It is named after Dutch mathematician L. E. J.… … Wikipedia
Approximation de Bernstein — En analyse, l approximation de Bernstein est une méthode d approximation polynomiale, permettant d approcher uniformément une fonction continue f définie sur l intervalle [0,1] par une suite de combinaisons linéaires des polynômes de Bernstein.… … Wikipédia en Français
Müntz–Szász theorem — The Müntz–Szász theorem is a basic result of approximation theory, proved by Herman Müntz in 1914 and Otto Szász (1884–1952) in 1916. Roughly speaking, the theorem shows to what extent the Weierstrass theorem on polynomial approximation can have… … Wikipedia
Théorème de Weierstrass — Cette page d’homonymie répertorie les différents sujets et articles partageant un même nom. Plusieurs théorèmes sont attribués à Karl Weierstrass ou le mentionnent dans leur nom. Théorème de Bolzano Weierstrass Théorème de factorisation de… … Wikipédia en Français
