2024/09/24 by M. H. M. Rashid, Rashid, M. H. M., Salameh, Wael Mahmoud Mohammad
Mathematics · #15A18 #26D07 #26D15 #47A63 #FOS: Mathematics #Functional Analysis (math.FA) #Mathematical Inequalities and Applications #Operator Algebras (math.OA)
paper · pdf · doi:10.48550/arxiv.2409.16171
openalex publication_date 2024/09/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
This paper undertakes a thorough investigation of matrix means interpolation and comparison. We expand the parameter ϑ beyond the closed interval [0,1] to cover the entire positive real line, denoted as ℝ+. Furthermore, we explore additional outcomes related to Heinz means. We introduce new scalar adaptations of Heinz inequalities, incorporating Kantorovich's constant, and enhance the operator version. Finally, we unveil refined Young's type inequalities designed specifically for traces, determinants, and norms of positive semi-definite matrices.