On the Error in Pade Approximations for Functions Defined by Stieltjes Integrals.
Abstract
An infinite series representation has been derived of the error in the approximate Gaussian quadrature of an integral. For Stieltjes type integrals, this procedure leads to the first subdiagonal Pade approximation. The error analysis is applied to three important examples. Further, it is shown how to obtain the main diagonal Pade approximation. Extension to generalized Stieltjes integrals is indicated.
Document Details
- Document Type
- Technical Report
- Publication Date
- Apr 15, 1976
- Accession Number
- ADA040310
Entities
People
- Yudell L. Luke