Chebyshev polynomials

Chebyshev polynomials
wielomiany Czebyszewa

English-Polish dictionary for engineers. 2013.

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  • Chebyshev polynomials — Not to be confused with discrete Chebyshev polynomials. In mathematics the Chebyshev polynomials, named after Pafnuty Chebyshev,[1] are a sequence of orthogonal polynomials which are related to de Moivre s formula and which can be defined… …   Wikipedia

  • Discrete Chebyshev polynomials — Not to be confused with Chebyshev polynomials. In mathematics, discrete Chebyshev polynomials, or Gram polynomials, are a type of discrete orthogonal polynomials used in approximation theory, introduced by Pafnuty Chebyshev (1864) and… …   Wikipedia

  • Chebyshev (disambiguation) — Chebyshev may refer to: Pafnuty Chebyshev: A Russian mathematician Chebyshev polynomials Chebyshev (crater): A lunar crater 2010 Chebyshev: An asteroid from the asteroid belt This disambiguation page lists articles associated with the same title …   Wikipedia

  • Chebyshev filter — Linear analog electronic filters Network synthesis filters Butterworth filter Chebyshev filter Elliptic (Cauer) filter Bessel filter Gaussian filter Optimum L (Legendre) filter Linkwitz Riley filter …   Wikipedia

  • Chebyshev pseudospectral method — The Chebyshev pseudospectral method for optimal control problems is based on Chebyshev polynomials of the first kind. Unlike the Legendre pseudospectral method, the Chebyshev pseudospectral (PS) method does not immediately offer high accuracy… …   Wikipedia

  • Chebyshev rational functions — This article is not about the Chebyshev rational functions used in the design of elliptic filters. For those functions, see Elliptic rational functions. Plot of the Chebyshev rational functions for n=0,1,2,3 and 4 for x between 0.01 and 100. In… …   Wikipedia

  • Chebyshev, Pafnuty Lvovich — ▪ Russian mathematician born May 4 [May 16, New Style], 1821, Okatovo, Russia died November 26 [December 8], 1894, St. Petersburg  founder of the St. Petersburg mathematical school (sometimes called the Chebyshev school), who is remembered… …   Universalium

  • Chebyshev nodes — In numerical analysis, Chebyshev nodes are the roots of the Chebyshev polynomial of the first kind. They are often used as nodes in polynomial interpolation because the resulting interpolation polynomial minimizes the Runge s phenomenon. Contents …   Wikipedia

  • Pafnuty Chebyshev — Chebyshev redirects here. For other uses, see Chebyshev (disambiguation). Pafnuty Chebyshev Pafnuty Lvovich Chebyshev Born May 16, 1821 …   Wikipedia

  • Chebyshev-Markov-Stieltjes inequalities — In mathematics, The Chebyshev ndash;Markov ndash;Stieltjes inequalities are important inequalities related to the problem of moments. They allow to extract some information about the measure from its first moments; namely, they provide sharp… …   Wikipedia

  • Chebyshev–Markov–Stieltjes inequalities — In mathematical analysis, the Chebyshev–Markov–Stieltjes inequalities are inequalities related to the problem of moments that were formulated in the 1880s by Pafnuty Chebyshev and proved independently by Andrey Markov and (somewhat later) by… …   Wikipedia

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