Applied Mathematics |
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Quadrature formulas for Fourier-Chebyshev coefficients |
YANG Shi-jun |
Department of Mathematics, Zhejiang University, Hangzhou 310028, China |
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Abstract The aim of this work is to construct a new quadrature formula for Fourier-Chebyshev coef-ficients based on the divided differences of the integrand at points-1, 1 and the zeros of the nth Chebyshev polynomial of the second kind. The interesting thing is that this quadrature rule is closely related to the well-known Gauss-Turán quadrature formula and similar to a recent result of Micchelli and Sharma, extending a particular case due to Micchelli and Rivlin.
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Received: 03 July 2001
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