Accession Number:

AD0777696

Title:

A Note on the Local Behavior of the Derivative of a Cubic Spline Interpolator.

Descriptive Note:

Research rept.,

Corporate Author:

CALIFORNIA UNIV SAN DIEGO LA JOLLA

Personal Author(s):

• Rosenblatt,M.

Report Date:

1974-01-01

Pagination or Media Count:

10.0

Abstract:

The derivative of a cubic spline interpolator is sometimes used to smooth a histogram. An asymptotically precise estimate of the difference between the derivative of the cubic spline interpolator and the derivative of the function interpolator is obtained under the assumption of equal interval size, appropriate boundary data and sufficient smoothness. Author

Descriptors:

• *Splines
• *Interpolation
• Estimates
• Matrices(Mathematics)
• Asymptotic series
• Theorems

Subject Categories:

• Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE