A Converse to Some Inequalities and Approximations in the Theory of Stieltjes and Stochastic Integrals, and for n-th Derivatives.
Abstract
The object of this report is to establish by counter-examples the best possible character of theorems recently obtained about stochastic integrals and Stieltjes integrals, and about n-th derivatives and finite differences. The hypotheses involve a pair of estimate functions subject to the convergence of a corresponding integral or Y-series, and it is shown that the divergence of this integral or series render in each case the conclusion false.
Document Details
- Document Type
- Technical Report
- Publication Date
- Dec 01, 1974
- Accession Number
- ADA003722
Entities
People
- L. C. Young
Organizations
- University of Wisconsin–Madison