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The Reciprocal Schur Inequality

  • Albrecht Böttcher,
  • Stephan Ramon Garcia,
  • Mishko Mitkovski

摘要

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.