ScholarLens Back to search
1997•Project Euclid (Cornell University)Requires access

Operator Inequalities Related To Cauchy-Schwarz And Hölder-McCarthy Inequalities

Masatoshi Fujii, Saichi Izumino, Ritsuo Nakamoto, Yuki Seo

Open publisher page 57 citations

Abstract

We give an improvement of the Cauchy-Schwarz inequality, which is based on the covariance-variance inequality. We also give a complementary inequality of the Holder-McCarty inequality. Furthermore we extend it to the case of two variables using the operator mean in the

About this research paper

What this paper is about

We give an improvement of the Cauchy-Schwarz inequality, which is based on the covariance-variance inequality. We also give a complementary inequality of the Holder-McCarty inequality. Furthermore we extend it to the case of two variables using the operator mean in the

Why it matters

OpenAlex reports 57 citations for this work. Citation counts describe recorded attention and do not establish research quality.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available abstract

We give an improvement of the Cauchy-Schwarz inequality, which is based on the covariance-variance inequality. We also give a complementary inequality of the Holder-McCarty inequality. Furthermore we extend it to the case of two variables using the operator mean in the

Key concepts: Mathematics, Cauchy–Schwarz inequality, Hölder's inequality, Kantorovich inequality, Inequality, Ky Fan inequality, Log sum inequality, Rearrangement inequality

Related papers

Related paper 1Related paper 2Related paper 3
Back to paper searchBrowse research topicsOriginal source
Operator Inequalities Related To Cauchy-Schwarz And Hölder-McCarthy Inequalities — Research Paper | ScholarLens