Accession Number:

AD0744320

Title:

Notes on Spline Functions. I. The Limits of the Interpolating Periodic Spline Functions as Their Degree Tends to Infinity.

Descriptive Note:

Technical summary rept.,

Corporate Author:

WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s):

• Schoenberg,I. J.

Report Date:

1972-04-01

Pagination or Media Count:

21.0

Abstract:

Let S sub nx be the periodic spline of degree 2n-1 that interpolates a given set of k data within the period. The limit of S sub n x is determined as the data are kept fixed and the author lets n approach infinity. Author

Descriptors:

• (*INTERPOLATION
• FUNCTIONS(MATHEMATICS))
• POLYNOMIALS
• THEOREMS

Subject Categories:

• Numerical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE