Keyword: «arithmetic and geometric means»

The proof of the generalized Cauchy method of forward and backward induction, and its application to solving problems of elementary mathematics

ART 1254

Author:

Sergei Vichegjanin

Full text Read online

The article is devoted to a proof of the generalized Cauchy inequality for arithmetical and geometrical mean of positive numbers, realized by the method of forward and backward induction. We give examples of the generalized Cauchy inequality to solve problems

Keywords: arithmetic and geometric means, the cauchy inequality, the problem of high levels of school mathematics