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Some new characterizations of the Chebyshev polynomials. (English) Zbl 0291.33012


MSC:

33C45 Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.)
65D30 Numerical integration
Full Text: DOI

References:

[1] DeVore, R. A., A property of Chebyshev polynomials, J. Approximation Theory, 12, 418-419 (1974) · Zbl 0364.41016
[2] Micchelli, C. A.; Rivlin, T. J., Turan formulae and highest precision quadrature rules for Chebyshev coefficients, IBM J. Res. Develop., 16, 372-379 (1972) · Zbl 0288.65013
[3] Linear Operators and Approximation, (ISNM, Vol. 20 (1972), Birkhäuser: Birkhäuser Basel), 498 · Zbl 0239.01019
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