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ZJUS-A
Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering)  2002, Vol. 3 Issue (3): 327-331    DOI: 10.1631/jzus.2002.0326
Applied Mathematics     
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.

Key words： Divided differences      Quadrature      Chebyshev polynomials      Fourier-Chebyshev coefficient     
Received: 03 July 2001     
CLC:  O241.4  
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YANG Shi-jun
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YANG Shi-jun. Quadrature formulas for Fourier-Chebyshev coefficients. Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering), 2002, 3(3): 327-331.

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http://www.zjujournals.com/xueshu/zjus-a/10.1631/jzus.2002.0326     OR     http://www.zjujournals.com/xueshu/zjus-a/Y2002/V3/I3/327

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