Accession Number:

AD0743791

Title:

Cardinal Interpolation and Spline Functions. VII. The Behavior of Cardinal Spline Interpolants 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:

1971-12-01

Pagination or Media Count:

25.0

Abstract:

Conditions are studied which insure that the cardinal spline interpolant S sub mx, of degree 2m-1, of a function Fx, converges to Fx as m approaches infinity. Author

Descriptors:

• (*INTERPOLATION
• FUNCTIONS(MATHEMATICS))
• APPROXIMATION(MATHEMATICS)
• POLYNOMIALS
• SERIES(MATHEMATICS)
• CONVERGENCE
• THEOREMS

Subject Categories:

• Numerical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE