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 |
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 |
URI: | http://hdl.handle.net/10773/4150 |
ISSN: | 1450-5444 |
Publisher Version: | http://www.dmi.uns.ac.rs/NSJOM/Papers/38_2/NSJOM_38_2_057_064.pdf |
Appears in Collections: | DMat - Artigos |
Files in This Item:
File | Description | Size | Format | |
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MeanValueTheorem.pdf | 127.98 kB | Adobe PDF | View/Open |
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