## Abstract We discuss some reversed Hölder inequalities yielding for functions on R~+~ satisfying one or two conditions of quasi‐monotonicity. All cases of equality are pointed out. By using these results and some recent results by the present authors (see [3]), we prove some new reversed inequali
Reverse Hölder Inequalities and Approximation Spaces
✍ Scribed by Joaquim Martı́n; Mario Milman
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 193 KB
- Volume
- 109
- Category
- Article
- ISSN
- 0021-9045
No coin nor oath required. For personal study only.
✦ Synopsis
We develop a simple geometry free context where one can formulate and prove general forms of Gehring's Lemma. We show how our result follows from a general inverse type reiteration theorem for approximation spaces.
📜 SIMILAR VOLUMES
In this paper, we generalize the well-known Holder inequality and give a condition at which the equality holds.
In 1 Stolarsky established an inequality between the two variable w x means of Holder and Lehmer that is much stronger than that given in 2 . ¨w x However, it should be noted that the inequalities given in 2 are in connection with more general n-variable means. So, it is natural to ask if we could