Error estimates for a Chebyshev quadrature method

Basu, N. K.

doi:10.1090/S0025-5718-1970-0277111-6

Error estimates for a Chebyshev quadrature method
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by N. K. Basu PDF

Math. Comp. 24 (1970), 863-867 Request permission

Abstract:

Filippi [1] has proposed a quadrature scheme for any function $f(x)$ in $[ - 1,1]$, based on expanding the integrand in a series of Chebyshev polynomials of the second kind. In this paper the error associated with this quadrature method when applied to analytic functions has been investigated in detail.

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