✦ LIBER ✦
Arithmetic and Geometric Means, an Application to Lorentz Sequence Spaces
✍ Scribed by J. S. Of Martins Coimbra
- Publisher
- John Wiley and Sons
- Year
- 1988
- Tongue
- English
- Weight
- 239 KB
- Volume
- 139
- Category
- Article
- ISSN
- 0025-584X
No coin nor oath required. For personal study only.
✦ Synopsis
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 result, for the case aj = j r , r 2 0 :