Mixed-norm estimates and symmetric geometric means
Functional Analysis
2016-05-24 v1
Abstract
The mixed-norm versions of the H\"older and Minkowski integral inequalities are used to produce new, general estimates involving symmetric geometric means of mixed norms. Various existing mixed-norm estimates are shown to be simple special cases of these new results. Examples are also given of applying mixed-norm H\"older and Minkowski to other estimates, providing much easier proofs. Finally, the effectiveness of this technique is demonstrated by deriving a new inequality which combines features from two separate previous results.
Cite
@article{arxiv.1507.08327,
title = {Mixed-norm estimates and symmetric geometric means},
author = {Wayne Grey},
journal= {arXiv preprint arXiv:1507.08327},
year = {2016}
}
Comments
17 pages, including references