Title

On the mean value theorem and inequality

Date of Publication

1997

Document Type

Bachelor's Thesis

Degree Name

Bachelor of Science in Mathematics

College

College of Science

Department/Unit

Mathematics and Statistics Department

Abstract/Summary

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.

Abstract Format

html

Language

English

Format

Print

Accession Number

TU08302

Shelf Location

Archives, The Learning Commons, 12F, Henry Sy Sr. Hall

Physical Description

43 leaves

Keywords

Mean value theorems (calculus); Inequalities (Mathematics); Lagrange equations

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