| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 5773317 | Linear Algebra and its Applications | 2017 | 13 Pages |
Abstract
As extension of the Lie-Trotter product formula, we define the two-variable and multivariate Lie-Trotter means with several examples including the Sagae-Tanabe and Hansen inductive means. We show that the weighted means satisfying the arithmetic-geometric-harmonic mean inequalities are the multivariate Lie-Trotter means. We finally give a few interesting versions of the extended Lie-Trotter formula derived from multivariate Lie-Trotter means.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Jinmi Hwang, Sejong Kim,