KnowraRearrangement inequalityLinked fromLinked fromThe 8 pages that link to Rearrangement inequality, each with the reason it gives.All 8Related 5Compared with 3Geometric inequalityRelated: Ordering lengths or coordinates can expose extremal configurations in geometric proofs.Chebyshev's sum inequalityRelated: It gives a broader extremal principle behind the advantage of similarly ordered pairings.Schur's inequalityRelated: Ordering variables is a useful way to expose the sign structure in proofs of Schur's inequality.Nesbitt's inequalityRelated: It offers another route to related inequalities involving sums and reciprocals.Karamata's inequalityCompared with: It compares pairings of entries, rather than convex sums under majorization.Muirhead's inequalityCompared with: It uses ordering in products rather than majorization between exponent vectors.Titu's lemmaCompared with: Unlike Titu's lemma, its key condition is the ordering of terms.Shapiro inequalityRelated: Rearrangement arguments can exploit how cyclic denominators align with the numerators.