This paper improves error bounds forGauss, Clenshaw-Curtis and Fejér's first quadrature by using newerror estimates for polynomial interpolation inChebyshev points. We also derive convergence rates of Chebyshev interpolation polynomials of the first and second kind for numerical evaluation of highly oscillatory integrals. Preliminary numerical results show that the improved error bounds are reasonably sharp.
|Number of pages||29|
|Publication status||Published - 21 May 2010|
ASJC Scopus subject areas
- Applied Mathematics
- Computational Mathematics