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Title: A mean value theorem for internal functions and an estimation for the diifferential mean point
Author: Almeida, R
Keywords: Nonstandard analysis
Mean value theorem
Estimation for the di
Issue Date: 2008
Publisher: Institute of Mathematics - Faculty of Science - University of Novi Sad
Abstract: 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.
Peer review: yes
ISSN: 1450-5444
Publisher Version:
Appears in Collections:MAT - Artigos

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