AM-GM AND CAUCHY-SCHWARZ INEQUALITIES

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Date

2019

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UNIVERSITY’S MOHAMED BOUDIAF OF M’SILA Faculty of Mathematics and computer sciences Department of Mathematics- Option :Discrete Mathematics

Abstract

In this thesis, we state and prove the two inequalities : arithmetic mean-geometric mean inequality and Cauchy-Schwarz inequality. To illustrate the importance of these inequalities we give many examples.

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Keywords

Arithmetic mean, Geometric mean, Cauchy-Schwarz, Inequality, IMO.

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