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