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The Reciprocal Schur Inequality

Functional Analysis 2023-06-21 v2

Abstract

Schur's inequality states that the sum of three special terms is always nonnegative. This note is a short review of inequalities for the sum of the reciprocals of these terms and of extensions of the latter inequalities to an arbitrary number of terms and thus to higher-order divided differences.

Keywords

Cite

@article{arxiv.2306.04046,
  title  = {The Reciprocal Schur Inequality},
  author = {Albrecht Boettcher and Stephan Ramon Garcia and Mishko Mitkovski},
  journal= {arXiv preprint arXiv:2306.04046},
  year   = {2023}
}

Comments

7 pages

R2 v1 2026-06-28T10:58:18.584Z