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Erschienen in:
2012 | OriginalPaper | Buchkapitel
18. Strong Mixing Variables Method (SMV Theorem)
verfasst von : Dipl. Math. Zdravko Cvetkovski
Erschienen in: Inequalities
Verlag: Springer Berlin Heidelberg
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Abstract
This method is very useful in proving symmetric inequalities with more than two variables. The SMV method (strong mixing variables method) is a simple and concise method that “works” in proving inequalities that have either a too complicated or a too long proof. In order to better describe the given method, first we will give a lemma (without proof) and then we will introduce the reader to the SMV theorem and its applications through exercises. We should point out that this theorem is part of a more comprehensive method, the Mixing Variable method (MV method), which can be found in Puong (Diamonds in Mathematical Inequalities, 2007).