Accession Number:

AD0773390

Title:

A Theorem on Lagrange Interpolation,

Descriptive Note:

Corporate Author:

TEXAS UNIV AUSTIN CENTER FOR NUMERICAL ANALYSIS

Personal Author(s):

• Kilgore,T. A.
• Cheney,E. W.

Report Date:

1973-08-01

Pagination or Media Count:

15.0

Abstract:

The report gives a proof of the fact that in Lagrange interpolation the n 1 nodes can be selected in such a way that the corresponding Lebesgue function exhibits n 2 maxima of equal magnitude. Author

Descriptors:

• *Interpolation
• Polynomials
• Inequalities
• Mapping(Transformations)
• Theorems

Subject Categories:

• Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE