KnowraSchur's inequalityLinked fromLinked fromThe 7 pages that link to Schur's inequality, each with the reason it gives.All 7Related 4Compared with 3Nesbitt's inequalityRelated: It can prove Nesbitt's inequality after the expression is rewritten over a common denominator.Weitzenböck's inequalityRelated: A Schur inequality can establish the side-length algebra behind a proof.Karamata's inequalityRelated: Karamata supplies a short proof of Schur's inequality using a suitable convex function.Muirhead's inequalityCompared with: Schur is a standard alternative when a symmetric inequality has a specific degree-sensitive form.Pedoe's inequalityRelated: Algebraic inequalities such as Schur's can support proofs after triangle quantities are parameterized.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.