On Infinitesimal Approximation of a Continuous Function

Abstract

If and are convex subsets in , and in for all . If the approximation family is the set An Infinitesimal approximation of an element in established in [4],[5]. A characterization of an infinitesimal approximation, necessary and sufficient conditions for the unique infinitesimal approximation are obtained.

Keywords

• infinitesimal
• approximation
• continuous function
• convex set