Publicación:
Primal and dual proofs of the arithmetic–geometric mean inequality by dynamic programming
Primal and dual proofs of the arithmetic–geometric mean inequality by dynamic programming
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Fecha
1990
Autores
Dubeau F.
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Taylor & Francis Online
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Abstracto
In a proof of the arithmetic-geometric mean (AGM) inequality is presented using the functional-equation approach of dynamic programming. The object of this note is to review this proof and to present a second proof using the same technique. On the way, we can appreciate the usefulness of the dynamic programming method and see two elementary proofs of a simple, but very important, inequality.
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I wish to thank Professor A. Shenitzer (York University, Canada) and Professor R. Jean (Universite du Quebec a Rimouski, Canada) for kindly reading this paper and making many valuable suggestions. This work has been supported by the Peruvian Council of Science and Technology (CONCYTEC).
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Matemáticas,
Investigación