English

Nesbitt and Shapiro Cyclic Sum Inequalities for Positive Definite Matrices

Rings and Algebras 2021-10-22 v1

Abstract

The aim of this note is to show that certain number theoretic inequalities due to Nesbitt and Shapiro have noncommutative counterparts involving positive definite matrices.

Keywords

Cite

@article{arxiv.2110.10933,
  title  = {Nesbitt and Shapiro Cyclic Sum Inequalities for Positive Definite Matrices},
  author = {Projesh Nath Choudhury and K. C. Sivakumar},
  journal= {arXiv preprint arXiv:2110.10933},
  year   = {2021}
}

Comments

To appear in Advances in Operator Theory. 10 pages, no figures