On the mean value theorem and inequality
This thesis presents for functions f:Rn--Rm a more general version of the Mean Value Inequality. The result is established in an elementary manner and the proof is made simple to make it accessible to most undergraduate students. Most of the theorems stated and proved in this thesis are result from...
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1997
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oai:animorepository.dlsu.edu.ph:etd_bachelors-169552022-02-12T00:52:05Z On the mean value theorem and inequality Garcia, Remilina R. Mahilum, Asuncion C. This thesis presents for functions f:Rn--Rm a more general version of the Mean Value Inequality. The result is established in an elementary manner and the proof is made simple to make it accessible to most undergraduate students. Most of the theorems stated and proved in this thesis are result from the article entitled, On the Mean Value Theorem, Inequality, and Inclusion, by Massimo Furi and Mario Martelli. A number of given examples and stated concepts went with illustrations to provide a better understanding of the topic. Applications of this result were also given since the reference named above did not include any. 1997-01-01T08:00:00Z text https://animorepository.dlsu.edu.ph/etd_bachelors/16442 Bachelor's Theses English Animo Repository Mean value theorems (calculus) Inequalities (Mathematics) Lagrange equations |
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De La Salle University |
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De La Salle University Library |
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Philippines Philippines |
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De La Salle University Library |
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DLSU Institutional Repository |
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English |
| topic |
Mean value theorems (calculus) Inequalities (Mathematics) Lagrange equations |
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Mean value theorems (calculus) Inequalities (Mathematics) Lagrange equations Garcia, Remilina R. Mahilum, Asuncion C. On the mean value theorem and inequality |
| description |
This thesis presents for functions f:Rn--Rm a more general version of the Mean Value Inequality. The result is established in an elementary manner and the proof is made simple to make it accessible to most undergraduate students. Most of the theorems stated and proved in this thesis are result from the article entitled, On the Mean Value Theorem, Inequality, and Inclusion, by Massimo Furi and Mario Martelli. A number of given examples and stated concepts went with illustrations to provide a better understanding of the topic. Applications of this result were also given since the reference named above did not include any. |
| format |
text |
| author |
Garcia, Remilina R. Mahilum, Asuncion C. |
| author_facet |
Garcia, Remilina R. Mahilum, Asuncion C. |
| author_sort |
Garcia, Remilina R. |
| title |
On the mean value theorem and inequality |
| title_short |
On the mean value theorem and inequality |
| title_full |
On the mean value theorem and inequality |
| title_fullStr |
On the mean value theorem and inequality |
| title_full_unstemmed |
On the mean value theorem and inequality |
| title_sort |
on the mean value theorem and inequality |
| publisher |
Animo Repository |
| publishDate |
1997 |
| url |
https://animorepository.dlsu.edu.ph/etd_bachelors/16442 |
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1772835157445705728 |