Buzano, Kre\u{i}n and Cauchy-Schwarz inequalities
Functional Analysis
2022-06-20 v2
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.
Keywords
Cite
@article{arxiv.2010.02464,
title = {Buzano, Kre\u{i}n and Cauchy-Schwarz inequalities},
author = {Mohammad Sababheh and Hamid Reza Moradi and Zahra Heydarbeygi},
journal= {arXiv preprint arXiv:2010.02464},
year = {2022}
}