论文标题
Buzano,Kreĭn和Cauchy-Schwarz的不平等现象
Buzano, Kreĭn and Cauchy-Schwarz inequalities
论文作者
论文摘要
Cauchy-Schwarz,Buzano和Kre \uın的不平等是内部产品的三个不平等。本文的主要目的是介绍Buzano和Cauchy-Schwarz的不平等现象,并介绍Kre \uın-Type不平等的精致版本的新证明。将介绍包括某些操作员,运营商的规范和数字半径不平等的应用程序的应用程序。
The Cauchy-Schwarz, Buzano and Kre\uın 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\uın-type inequality. Applications that include Buzano-type inequalities for certain operators, operator norm and numerical radius inequalities of Hilbert space operators will be presented.