Refined Young inequalities with Specht’s ratio - Egyptian Knowledge Bank

386351

Refined Young inequalities with Specht’s ratio

Article

Last updated: 05 Jan 2025

Subjects

Abstract

In this paper, we show that the m-weighted arithmetic mean is greater than the product of
the m-weighted geometric mean and Specht's ratio. As a corollary, we also show that the m-weighted geometric mean is greater than the product of the m-weighted harmonic mean and Specht's ratio.These results give the improvements for the classical Young inequalities, since Specht's ratio is generally greater than 1. In addition, we give an operator inequality for positive operators, applying our refined Young inequality.

DOI

10.1016/j.joems.2011.12.010

Keywords

Specht’s ratio, Young inequality, Positive operator, Operator mean and operator inequality

Authors

View Authors

First Name

Shigeru

Last Name

Furuich

MiddleName

Affiliation

Department of Computer Science and System Analysis, College of Humanities and Sciences, Nihon University, 3-25-40, Sakurajyousui, Setagaya-ku, Tokyo, 156-8550, Japan

Email

furuichi@chs.nihon-u.ac.jp

City

Orcid

Volume

Article Issue

Related Issue

50470

Issue Date

2012-04-01

Receive Date

2024-10-15

Publish Date

2012-04-01

Page Start

Page End

Print ISSN

1110-256X

Online ISSN

2090-9128

Article File

JOEMS_Volume 20_Issue 1_Pages 46-49.pdf

PDF . 351.7kB

Link

https://joems.journals.ekb.eg/article_386351.html

Detail API

https://joems.journals.ekb.eg/service?article_code=386351

Order

386,351

Publication Type

Journal

Publication Title

Journal of the Egyptian Mathematical Society

Publication Link

https://joems.journals.ekb.eg/

MainTitle