Lie-Trotter means of positive definite operators
作者： Jinmi Hwang , Sejong Kim
DOI: 10.1016/J.LAA.2017.06.009
关键词: Pythagorean means 、 Weighted geometric mean 、 Algebra 、 Quasi-arithmetic mean 、 Inequality of arithmetic and geometric means 、 Harmonic mean 、 Generalized mean 、 Fréchet mean 、 Mathematics 、 Multivariate statistics
摘要: Abstract As extension of the Lie-Trotter product formula, we define two-variable and multivariate means with several examples including Sagae-Tanabe Hansen inductive means. We show that weighted satisfying arithmetic-geometric-harmonic mean inequalities are finally give a few interesting versions extended formula derived from
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