The arithmetic-geometric-harmonic-mean and related matrix inequalities
✍ Scribed by M. Alić; B. Mond; J. Pečarić; V. Volenec
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 188 KB
- Volume
- 264
- Category
- Article
- ISSN
- 0024-3795
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📜 SIMILAR VOLUMES
In recent years certain arithmetic geometric mean and related inequalities for operators and unitarily invariant norms have been obtained by many authors based on majorization technique and so on. We first point out that they are direct consequences of integral expressions of relevant operators. Fur
We define a new family of matrix means {L μ (ω; A)} μ∈R where ω and A vary over all positive probability vectors in R m and m-tuples of positive definite matrices resp. Each of these means interpolates between the weighted harmonic mean (μ = -∞) and the arithmetic mean of the same weight (μ = ∞) wit