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1. 1. The Cauchy-Schwarz inequality : Proofs and applications in various spaces

   University essay from Karlstads universitet/Avdelningen för matematik

   Author : Thomas Wigren; [2015]
   Keywords : Cauchy-Schwarz inequality; mathematical induction; triangle inequality; Pythagorean theorem; arithmetic-geometric means inequality; inner product space;

   Abstract : We give some background information about the Cauchy-Schwarz inequality including its history. We then continue by providing a number of proofs for the inequality in its classical form using various proof techniques, including proofs without words. READ MORE