Some refinements of classical inequalities
Functional Analysis
2018-03-26 v3
Abstract
We give some new refinements and reverses Young inequalities in both additive-type and multiplicative-type for two positive numbers/operators. We show our advantages by comparing with known results. A few applications are also given. Some results relevant to the Heron mean are also considered.
Cite
@article{arxiv.1705.02185,
title = {Some refinements of classical inequalities},
author = {Shigeru Furuichi and Hamid Reza Moradi},
journal= {arXiv preprint arXiv:1705.02185},
year = {2018}
}
Comments
The title was again changed. The contents were revised. The manuscript will be published from Rocky Mountain Journal of Mathematics. of Mathematics