Arithmetic, Geometric and Harmonic Sequences
✍ Scribed by Stephen R. Wassell
- Publisher
- SP Birkhäuser Verlag Basel
- Year
- 2001
- Tongue
- English
- Weight
- 97 KB
- Volume
- 3
- Category
- Article
- ISSN
- 1590-5896
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
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
## I. Arithmetic and Geometric Means Several important inequalities involving arithmetic and geometric means, may be found in the literature. The well known POPOVICIU'S inequality ([I], [3]) reads ## (anlgn)n z(an-llgn-l)n-l When dealing with a question on LORENTZ spaces, we proved a stronger r