Displaying similar documents to “A fractional mean value theorem, and a Taylor theorem, for strongly continuous vector valued functions”

Cauchy Mean Theorem

Adam Grabowski (2014)

Formalized Mathematics

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The purpose of this paper was to prove formally, using the Mizar language, Arithmetic Mean/Geometric Mean theorem known maybe better under the name of AM-GM inequality or Cauchy mean theorem. It states that the arithmetic mean of a list of a non-negative real numbers is greater than or equal to the geometric mean of the same list. The formalization was tempting for at least two reasons: one of them, perhaps the strongest, was that the proof of this theorem seemed to be relatively easy...