KnowraMinkowski inequalityLinked fromLinked fromThe 9 pages that link to Minkowski inequality, each with the reason it gives.All 9Broader topic 1Related 4Compared with 4Triangle inequalityBroader topic: It establishes the triangle inequality for important norms beyond Euclidean length.Cauchy–Schwarz inequalityCompared with: It bounds the norm of a sum, whereas Cauchy–Schwarz bounds an inner product.Hölder's inequalityRelated: Its standard proof applies Hölder's inequality to expand a power of a sum.Lp spaceRelated: It supplies the triangle inequality that makes Lp a normed space for p ≥ 1.Equality conditionRelated: Its equality cases characterize when the norm of a sum reaches the sum of norms.Rearrangement inequalityCompared with: It bounds a different operation: combining magnitudes rather than reordering paired products.AM–GM inequalityCompared with: Minkowski compares sums of powered quantities, unlike AM–GM's comparison of two means.Bernoulli's inequalityRelated: Its power estimates appear throughout analysis, where Bernoulli's inequality can provide elementary supporting bounds.Young's inequality for productsCompared with: Minkowski controls sums in a norm; Young controls products by separate power terms.