PADE APPROXIMATION OF STIELTJES SERIES Academic Article uri icon

abstract

  • Using Nuttall's compact formula for the [n, n - 1] Pad'e approximant, the authors show that there is a natural connection between the Pad approximants of a series of Stieltjes and orthogonal polynomials. In particular, we obtain the precise error formulas. The [n, n - 1] Pad approximant in this case is just a Gaussian quadrature of the Stieltjes integral. Hence, analysis of the error is now possible and under very mild conditions it is shown that the [n, n + j], j - 1, Pad approximants converge to the Stieltjes integral. 1975.

published proceedings

  • JOURNAL OF APPROXIMATION THEORY

author list (cited authors)

  • ALLEN, G. D., CHUI, C. K., MADYCH, W. R., NARCOWICH, F. J., & SMITH, P. W.

citation count

  • 22

complete list of authors

  • ALLEN, GD||CHUI, CK||MADYCH, WR||NARCOWICH, FJ||SMITH, PW

publication date

  • January 1975