Error Estimates for a Chebyshev Quadrature Method By

  title={Error Estimates for a Chebyshev Quadrature Method By},
  author={N. K. Basa},
  • N. K. Basa
  • Published 2010
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. Introduction. A Chebyshev polynomial of the second kind is Un-i(x) = (l/ri)T'n(x) where Tn(x) is the Chebyshev polynomial of the first kind of degree «, defined by Tn(x) = cos «0 with x = cos 0… CONTINUE READING