Improved Young and Heinz inequalities with the Kantorovich constant

2015/05/31 by Wenshi Liao, Liao, Wenshi, Junliang Wu +1
Mathematics · #15A15 #15A42 #15A60 #47A30 #Analytic and geometric function theory #FOS: Mathematics #Functional Analysis (math.FA) #Mathematical Inequalities and Applications #Mathematics and Applications

paper · pdf · doi:10.48550/arxiv.1506.00226

openalex publication_date 2015/05/31 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this article, we study the further refinements and reverses of the Young and Heinz inequalities with the Kantorovich constant. These modified inequalities are used to establish corresponding operator inequalities on Hilbert space and Hilbert-Schmidt norm inequalities.

Related

• Advanced refinements of Young and Heinz inequalities
• On improvement of Young inequality using the Kontrovich constant
• On refined operator version of Young inequality and its reverse
• A Note on Kantorovich and Ando Inequalities
• On an operator Kantorovich inequality for positive linear maps