Operator iteration on the Young inequality

Abstract In this paper, we employ iteration on operator version of the famous Young inequality and obtain more arithmetic-geometric mean inequalities and the reverse versions for positive operators. Concretely, we obtain refined Young inequalities with the Kantorovich constant, the reverse ratio typ...

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Bibliographic Details
Main Authors: Xianhe Zhao, Le Li, Hongliang Zuo
Format: Article
Language:English
Published: SpringerOpen 2016-11-01
Series:Journal of Inequalities and Applications
Subjects:
Online Access:http://link.springer.com/article/10.1186/s13660-016-1249-z