Geodesic
A proof of Chebyshev's inequality
The Teaching of Mathematics, X (2007) no. 2, p. 107

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

Interrelating inequalities by proving that one of them is a specific case of others, makes their proofs transparent and often easier. Thus, we derive here Chebyshev's inequality from two inequalities related to convex combinations (and also having some interest in themselves).
Classification : 00A35 I34
Keywords: Relation of majorization, convex combinations, Chebyshev's inequality. 
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Milosav M. Marjanović; Zoran Kadelbur. A proof of Chebyshev's inequality. The Teaching of Mathematics, X (2007) no. 2, p. 107 . http://geodesic.mathdoc.fr/item/TM2_2007_X_2_a3/