Accession Number:

ADA010050

Title:

Cardinal t-Perfect Splines.

Descriptive Note:

Technical summary rept.,

Corporate Author:

WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s):

• Sharma,A.
• Tzimbalario,J.

Report Date:

1975-03-01

Pagination or Media Count:

19.0

Abstract:

Cardinal t-perfect splines are introduced here as cardinal splines of degree m with leading term in nu,nu 1 equal to t sup nux sup m, all nu, as a connection between cardinal monosplines t 1 and cardinal perfect splines t -1. A cardinal t-perfect spline of minimal t-norm is determined for various choices of m and of the number s of continuous derivatives of the spline. An extremum problem for t-perfect cardinal splines is solved.

Descriptors:

• *SPLINES
• APPROXIMATION(MATHEMATICS)
• POLYNOMIALS
• THEOREMS

Subject Categories:

• Numerical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE