Accession Number:

AD0648188

Title:

Three Notes on Derivatives and Integrals: 1. On Derivatives and Double Differences; 2. Stieltjes Integrals Without Bounded Variation; 3. Remark on Stochastic Integrals

Descriptive Note:

Technical Report

Corporate Author:

WISCONSIN UNIV-MADISON MADISON

Personal Author(s):

Report Date:

1966-07-01

Pagination or Media Count:

24.0

Abstract:

Of the three notes which comprise the report, the first uses inequalities in terms of double differences to establish the existence of a first derivative at 0, and to estimate the error in replacing it by a finite difference ratio. The second note deals similarly with the existence of a Stieltjes integral defined as derivative of a convolution. The third note defines stochastic integrals.

Subject Categories:

Distribution Statement:

APPROVED FOR PUBLIC RELEASE