Some results of Heron mean and Young’s inequalities

Abstract In this paper, we will show some improvements of Heron mean and the refinements of Young’s inequalities for operators and matrices with a different method based on others’ results.

Bibliographic Details
Main Authors: Changsen Yang, Yonghui Ren
Format: Article
Language:English
Published: SpringerOpen 2018-07-01
Series:Journal of Inequalities and Applications
Subjects:
Online Access:http://link.springer.com/article/10.1186/s13660-018-1765-0
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author Changsen Yang
Yonghui Ren
author_facet Changsen Yang
Yonghui Ren
author_sort Changsen Yang
collection DOAJ
description Abstract In this paper, we will show some improvements of Heron mean and the refinements of Young’s inequalities for operators and matrices with a different method based on others’ results.
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spelling doaj.art-ee4939878ef745f1a57d1ab5f739ddb42022-12-22T02:24:52ZengSpringerOpenJournal of Inequalities and Applications1029-242X2018-07-01201811910.1186/s13660-018-1765-0Some results of Heron mean and Young’s inequalitiesChangsen Yang0Yonghui Ren1College of Mathematics and Information Science, Henan Normal UniversityCollege of Mathematics and Information Science, Henan Normal UniversityAbstract In this paper, we will show some improvements of Heron mean and the refinements of Young’s inequalities for operators and matrices with a different method based on others’ results.http://link.springer.com/article/10.1186/s13660-018-1765-0Heron meanYoung’s inequalityOperator inequalityUnitarily invariant norm
spellingShingle Changsen Yang
Yonghui Ren
Some results of Heron mean and Young’s inequalities
Journal of Inequalities and Applications
Heron mean
Young’s inequality
Operator inequality
Unitarily invariant norm
title Some results of Heron mean and Young’s inequalities
title_full Some results of Heron mean and Young’s inequalities
title_fullStr Some results of Heron mean and Young’s inequalities
title_full_unstemmed Some results of Heron mean and Young’s inequalities
title_short Some results of Heron mean and Young’s inequalities
title_sort some results of heron mean and young s inequalities
topic Heron mean
Young’s inequality
Operator inequality
Unitarily invariant norm
url http://link.springer.com/article/10.1186/s13660-018-1765-0
work_keys_str_mv AT changsenyang someresultsofheronmeanandyoungsinequalities
AT yonghuiren someresultsofheronmeanandyoungsinequalities