Skip to main content
Proceedings of the National Academy of Sciences of the United States of America logoLink to Proceedings of the National Academy of Sciences of the United States of America
. 1970 Nov;67(3):1188–1191. doi: 10.1073/pnas.67.3.1188

Note on Degree of Convergence of Sequences of Rational Functions of Prescribed Type

J L Walsh 1,*
PMCID: PMC283335  PMID: 16591879

Abstract

This note studies the degree of convergence of various sequences of rational functions of given types which are of best approximation to a given function analytic on a given point set and meromorphic on a larger set. The sequences are conveniently represented by the analog of the Padé table.

Full text

PDF
1188

Selected References

These references are in PubMed. This may not be the complete list of references from this article.

  1. Walsh J. L. NOTE ON THE CONVERGENCE OF APPROXIMATING RATIONAL FUNCTIONS OF PRESCRIBED TYPE. Proc Natl Acad Sci U S A. 1963 Nov;50(5):791–794. doi: 10.1073/pnas.50.5.791. [DOI] [PMC free article] [PubMed] [Google Scholar]

Articles from Proceedings of the National Academy of Sciences of the United States of America are provided here courtesy of National Academy of Sciences

RESOURCES