Accession Number:

ADA046381

Title:

A Refinement of Kolmogorov's Inequality.

Descriptive Note:

Technical summary rept.,

Corporate Author:

WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s):

Report Date:

1977-09-01

Pagination or Media Count:

23.0

Abstract:

For any n-times differentiable function f with uniform bounds on f and the nth derivative of f, the pair of values the jth derivative of ft, the j 1th derivative of ft are studied for an arbitrary real t and a prescribed j 0,...,n-1. A given value of the jth derivative of ft determines admissible values for the j 1th derivative of ft. These values are exactly determined in terms of the Euler spline E sub nt. Special differentiation formulas of cardinal interpolation type are developed to solve the problem.

Subject Categories:

  • Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE