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arXiv · 2010.02464

Buzano, Kre\u{i}n and Cauchy-Schwarz inequalities

Mohammad Sababheh·Hamid Reza Moradi·Zahra Heydarbeygi
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Abstract

The Cauchy-Schwarz, Buzano and Kre\u{\i}n inequalities are three inequalities about inner product. The main goal of this article is to present refinements of Buzano and Cauchy-Schwarz inequalities, and to present a new proof of a refined version of a Kre\u{\i}n-type inequality. Applications that include Buzano-type inequalities for certain operators, operator norm and numerical radius inequalities of Hilbert space operators will be presented.

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Mohammad Sababheh, Hamid Reza Moradi, Zahra Heydarbeygi. 2020-10-06. Buzano, Kre\u{i}n and Cauchy-Schwarz inequalities. https://doi.org/10.7153/oam-2022-16-19

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