Accession Number:

ADA003703

Title:

A Smooth and Local Interpolant with 'Small' k-th Derivative.

Descriptive Note:

Summary rept.,

Corporate Author:

WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s):

Report Date:

1974-12-01

Pagination or Media Count:

40.0

Abstract:

This report is a continuation of MRC TSR 1425, How small can one make the derivatives of an interpolating function., and is concerned with estimating the number K sub 0 inf C sub k with the infimum taken over all C sub k. Knowledge about K sub 0k makes it possible to estimate the derivatives up to and including the k-th of some smooth interpolant to give data directly from the divided differences of the data without actually constructing such an interpolant and its derivatives, thus facilitating the process of estimating the residual error of a finite difference approximation.

Subject Categories:

  • Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE