On Pólya–Szegö reverse of Schwarz's inequality

Zdzisław Otachel

Mathematische Nachrichten, 2020, vol. 293, issue 7, 1390-1404

Abstract: We present some new results on the Cauchy–Schwarz inequality in inner product spaces, where four vectors are involved. This naturally extends Pólya–Szegö reverse of Schwarz's inequality onto complex inner product spaces. Applications to the famous Hadamard's inequality about determinants and the triangle inequality for norms are given.

Date: 2020
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https://doi.org/10.1002/mana.201800485

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