Using the topological notion of compacity, we present a variational definition for the concepts of limit and derivative of a function. The main result of these new definition is that they produce implementable tests to check whether a value is the limit or the derivative of a differenciable function.
| Published in | American Journal of Applied Mathematics (Volume 4, Issue 3) |
| DOI | 10.11648/j.ajam.20160403.14 |
| Page(s) | 137-141 |
| Creative Commons |
This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited. |
| Copyright |
Copyright © The Author(s), 2016. Published by Science Publishing Group |
Variational, Limit, Derivative, Differenciation
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APA Style
Munhoz Antonio Sergio, Souza Filho, Antonio Calixto. (2016). A Variational Definition for Limit and Derivative. American Journal of Applied Mathematics, 4(3), 137-141. https://doi.org/10.11648/j.ajam.20160403.14
ACS Style
Munhoz Antonio Sergio; Souza Filho; Antonio Calixto. A Variational Definition for Limit and Derivative. Am. J. Appl. Math. 2016, 4(3), 137-141. doi: 10.11648/j.ajam.20160403.14
AMA Style
Munhoz Antonio Sergio, Souza Filho, Antonio Calixto. A Variational Definition for Limit and Derivative. Am J Appl Math. 2016;4(3):137-141. doi: 10.11648/j.ajam.20160403.14
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Download@article{10.11648/j.ajam.20160403.14,
author = {Munhoz Antonio Sergio and Souza Filho and Antonio Calixto},
title = {A Variational Definition for Limit and Derivative},
journal = {American Journal of Applied Mathematics},
volume = {4},
number = {3},
pages = {137-141},
doi = {10.11648/j.ajam.20160403.14},
url = {https://doi.org/10.11648/j.ajam.20160403.14},
eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajam.20160403.14},
abstract = {Using the topological notion of compacity, we present a variational definition for the concepts of limit and derivative of a function. The main result of these new definition is that they produce implementable tests to check whether a value is the limit or the derivative of a differenciable function.},
year = {2016}
}
TY - JOUR T1 - A Variational Definition for Limit and Derivative AU - Munhoz Antonio Sergio AU - Souza Filho AU - Antonio Calixto Y1 - 2016/05/22 PY - 2016 N1 - https://doi.org/10.11648/j.ajam.20160403.14 DO - 10.11648/j.ajam.20160403.14 T2 - American Journal of Applied Mathematics JF - American Journal of Applied Mathematics JO - American Journal of Applied Mathematics SP - 137 EP - 141 PB - Science Publishing Group SN - 2330-006X UR - https://doi.org/10.11648/j.ajam.20160403.14 AB - Using the topological notion of compacity, we present a variational definition for the concepts of limit and derivative of a function. The main result of these new definition is that they produce implementable tests to check whether a value is the limit or the derivative of a differenciable function. VL - 4 IS - 3 ER -
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