English

A Refinement of the arithmetic-geometric mean inequality and some more

Functional Analysis 2021-11-08 v1

Abstract

In this note, we present a refinement of the well-known AM-GM inequality. We use this improved inequalty to establish corresponding inequalities on Hilbert space. We also give some refinements of the Kantorovich inequality.

Keywords

Cite

@article{arxiv.2111.03402,
  title  = {A Refinement of the arithmetic-geometric mean inequality and some more},
  author = {Mehdi Eghbali Amlashi and Mahmoud Hassani},
  journal= {arXiv preprint arXiv:2111.03402},
  year   = {2021}
}