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 A mean value theorem for internal functions and an estimation for the diifferential mean point
Please use this identifier to cite or link to this item http://hdl.handle.net/10773/4150

title: A mean value theorem for internal functions and an estimation for the diifferential mean point
authors: 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.
URI: http://hdl.handle.net/10773/4150
ISSN: 1450-5444
publisher version/DOI: http://www.dmi.uns.ac.rs/NSJOM/Papers/38_2/NSJOM_38_2_057_064.pdf
source: Novi Sad Journal of Mathematics
appears in collectionsMAT - Artigos

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