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On Pólya–Szegö reverse of Schwarz's inequality

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  • Zdzisław Otachel

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.

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  • Zdzisław Otachel, 2020. "On Pólya–Szegö reverse of Schwarz's inequality," Mathematische Nachrichten, Wiley Blackwell, vol. 293(7), pages 1390-1404, July.
    • Handle: RePEc:bla:mathna:v:293:y:2020:i:7:p:1390-1404
    DOI: 10.1002/mana.201800485
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    References listed on IDEAS

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    1. S. S. Dragomir, 2015. "Reverses of Schwarz inequality in inner product spaces with applications," Mathematische Nachrichten, Wiley Blackwell, vol. 288(7), pages 730-742, May.
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