Strengthened Cauchy-Schwarz and Hölder inequalities

preprint2013arXivOpen access

Abstract

We present some identities related to the Cauchy-Schwarz inequality in complex inner product spaces. A new proof of the basic result on the subject of Strengthened Cauchy-Schwarz inequalities is derived using these identities. Also, an analogous version of this result is given for Strengthened Hölder inequalities.

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