KnowraSchur's inequalityLinked fromLinked fromThe 7 pages that link to Schur's inequality, each with the reason it gives.All 7Related 4Compared with 3Muirhead's inequalityCompared with: Schur is a standard alternative when a symmetric inequality has a specific degree-sensitive form.Titu's lemmaCompared with: Schur targets polynomial expressions directly rather than ratios with positive denominators.Shapiro inequalityCompared with: Unlike Shapiro’s cyclic ratios, Schur’s inequality is symmetric in its variables.