A mean value theorem for internal functions and an estimation for the diifferen...

• Author(s): Almeida, R
• Date: 2008
• Persistent ID: http://hdl.handle.net/10773/4150
• Origin: RIA - Repositório Institucional da Universidade de Aveiro
• Subject(s): Nonstandard analysis; Mean value theorem; Estimation for the di
• Document Type: Article
• Language: English

Description

In this paper we present several results about the mean value theorem (MVT) with nonstandard analysis techniques. Using only the intermediate value theo- rem, we present a nonstandard proof of the MVT. In the next section we extend the MVT for internal SU-di erentiable functions. In the end we shall discuss the location of the di erential mean point c in the segment [x; y], as y - x. CEOC FCT FEDER/POCI 2010