KnowraChebyshev's sum inequalityLinked fromLinked fromThe 9 pages that link to Chebyshev's sum inequality, each with the reason it gives.All 9Broader topic 1Related 1Compared with 7Jensen's inequalityCompared with: It concerns paired ordering of sequences, not convexity of a function.Rearrangement inequalityCompared with: Unlike rearrangement's extremal comparison across permutations, it compares one product average with separate averages.AM–GM inequalityRelated: It also compares averages, but depends on ordering rather than nonnegative inputs.Schur's inequalityCompared with: Chebyshev concerns paired sequences, whereas Schur directly bounds a symmetric polynomial in three variables.Pafnuty ChebyshevBroader topic: It is a distinct inequality bearing Chebyshev’s name, used in analysis and probability.Karamata's inequalityCompared with: Its ordering condition concerns paired sequences, not majorization and convexity.Muirhead's inequalityCompared with: It offers a sequence-based route for some symmetric inequalities without expanding monomial sums.Titu's lemmaCompared with: It also bounds sums, but depends on sequence ordering rather than positive denominators.Abel's inequalityCompared with: It uses monotonic ordering too, but controls a different expression.