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Chebyshev interpolation and quadrature formulas of very high degree

โœ Scribed by Salzer, Herbert E.


Book ID
121869201
Publisher
Association for Computing Machinery
Year
1969
Tongue
English
Weight
73 KB
Volume
12
Category
Article
ISSN
0001-0782

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Chebyshev interpolation and quadrature f
โœ Salzer, Herbert E. ๐Ÿ“‚ Article ๐Ÿ“… 1969 ๐Ÿ› Association for Computing Machinery ๐ŸŒ English โš– 73 KB

All the zeros x 2 m , i , i = 1(1)2 m , of the Chebyshev polynomials T 2 m ( x ), m = 0(1) n , are found recursively just by taking n 2 n -1 real square roots. For interpolation or integration of ฦ’( x ), given ฦ’( x 2 m , i ), only x 2 m , i is needed to calculate (a) the (2 m - 1)-th degree