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There is a page named "Chebyshev polynomial of the first kind" on Wikipedia
- several equivalent ways, one of which starts with trigonometric functions: The Chebyshev polynomials of the first kind T n {\displaystyle T_{n}} are...61 KB (11,466 words) - 18:05, 14 August 2024
- the Chebyshev zeros, are the zeros of the Chebyshev polynomials of the first kind. The Chebyshev nodes of the second kind, also called the Chebyshev extrema...8 KB (1,201 words) - 19:37, 2 August 2024
- the grid of Chebyshev extrema, the extrema of the Chebyshev polynomials of the first kind, which are also the zeros of the Chebyshev polynomials of the...5 KB (960 words) - 16:10, 21 May 2024
- {N-1}{N}}{\frac {\pi }{2}}} are Chebyshev polynomials of the first kind of degree N. This property is exploited to produce a set of points, called Padua points...16 KB (1,651 words) - 21:58, 27 November 2023
- n}(x)+{\frac {\nu +1}{n}}b_{\nu +1,n}(x).} The expansion of the Chebyshev Polynomials of the First Kind into the Bernstein basis is T n ( u ) = ( 2 n − 1...21 KB (3,797 words) - 00:15, 3 January 2024
- to take on any value. The Chebyshev polynomials of the first kind are a special case of Zolotarev polynomials. These polynomials were introduced by Russian...9 KB (1,559 words) - 00:01, 23 May 2024
- is a Chebyshev polynomial of the first kind. Many properties can be derived from the properties of the Chebyshev polynomials of the first kind. Other...4 KB (688 words) - 03:13, 27 February 2023
- is a polynomial of degree p and it is proportional to the Chebyshev polynomial of the first kind T p ( x ) = ( − 1 ) p / 2 F ( x ) {\displaystyle T_{p}(x)=(-1)^{p/2}\...2 KB (444 words) - 12:25, 7 August 2022
- Window function (redirect from List of window functions)k}{N+1}}\right){\big )}}{10^{\alpha }}},\ 0\leq k\leq N.} Tn(x) is the n-th Chebyshev polynomial of the first kind evaluated in x, which can be computed using T n ( x...73 KB (8,651 words) - 20:46, 29 July 2024
- Chebyshev in 1859. Chebyshev's work was overlooked, and they were named later after Charles Hermite, who wrote on the polynomials in 1864, describing...57 KB (10,024 words) - 18:31, 4 August 2024
- to Chebyshev polynomials with a change of variable, and, in fact, Dickson polynomials are sometimes called Chebyshev polynomials. Dickson polynomials are...13 KB (2,070 words) - 09:24, 5 July 2023
- the Legendre polynomials are associated Legendre polynomials, Legendre functions, Legendre functions of the second kind, big q-Legendre polynomials,...31 KB (5,373 words) - 23:47, 14 August 2024
- Markov brothers' inequality (section The statement)(2k-1)}}\max _{-1\leq x\leq 1}|P(x)|.} Equality is attained for Chebyshev polynomials of the first kind. Bernstein's inequality (mathematical analysis) Remez inequality...2 KB (282 words) - 04:07, 11 August 2024
- analysis, the Clenshaw algorithm, also called Clenshaw summation, is a recursive method to evaluate a linear combination of Chebyshev polynomials. The method...10 KB (2,169 words) - 13:05, 19 August 2024
- Fourier transform (redirect from List of Fourier transforms)the set of homogeneous harmonic polynomials of degree k on Rn be denoted by Ak. The set Ak consists of the solid spherical harmonics of degree k. The...177 KB (21,044 words) - 13:14, 5 August 2024
- \cos(nx)} is a polynomial of cos x , {\displaystyle \cos x,} the so-called Chebyshev polynomial of the first kind, see Chebyshev polynomials#Trigonometric...81 KB (12,166 words) - 04:35, 2 August 2024
- The Chebyshev polynomials of the first kind are orthogonal with respect to the measure 1 1 − x 2 . {\textstyle {\frac {1}{\sqrt {1-x^{2}}}}.} The Chebyshev...13 KB (2,164 words) - 00:04, 7 May 2024
- Rietveld refinement (category Pages that use a deprecated format of the math tags)appear as follows. Again, background is treated as a Chebyshev polynomial of the first kind ("Handbook of Mathematical Functions", M. Abramowitz and IA. Stegun...29 KB (4,968 words) - 22:14, 8 July 2024
- Zeitlin established the following relation between Ψ n ( x ) {\displaystyle \Psi _{n}(x)} and Chebyshev polynomials of the first kind. If n = 2 s + 1 {\displaystyle...10 KB (2,520 words) - 05:05, 23 February 2024
- the data rather than fixed in advance. Discrete Chebyshev transforms (on the 'roots' grid and the 'extrema' grid of the Chebyshev polynomials of the first...7 KB (933 words) - 23:28, 7 November 2023
- Encyclopedia of Mathematics Education (2001) p. 235. It is customary to consider Chebyshev, Gauss, Jacobi, and Legendre as the main creators of the theory of orthogonal
- Chebyshev polynomials of the first kind, denoted Tn and are closely related to cos {\displaystyle \cos } and Chebyshev polynomials of the second kind