Gasparyan's Inequality
Classical Analysis and ODEs
2016-09-06 v1
Abstract
We consider a new and simpler proof of an inequality of A.S. Gasparyan, which was originally derived in terms of complex algebraical objects --- multidimensional hyperdeterminants. Our proof is much simpler and use only standard technics such as mean inequalities. The main theorem on Gini means is essentially used. Some corollaries and problems are considered.
Keywords
Cite
@article{arxiv.1609.01249,
title = {Gasparyan's Inequality},
author = {A. B. Pevnyi and S. M. Sitnik},
journal= {arXiv preprint arXiv:1609.01249},
year = {2016}
}
Comments
6 pages, text in Russian, abstract in English