Approximation of Wiener integrals of functionals continuous in the uniform topology

Henry Charles Finlayson

Vol. 34 (1970), No. 1, 61–71

DOI: 10.2140/pjm.1970.34.61

Abstract

The result obtained in this paper is a technique for the approximation and estimation of error of Wiener integrals of suitable functionals continuous in the uniform topology. For a certain class of functionals called third degree polynomials exact results occur at the first as well as each subsequent stage of approximation.

Mathematical Subject Classification 2000

Primary: 41A55

Secondary: 65D15

Milestones

Received: 25 September 1969

Published: 1 July 1970