KnowraBernoulli's inequalityLinked fromLinked fromThe 6 pages that link to Bernoulli's inequality, each with the reason it gives.All 6Related 1Compared with 5Binomial theoremRelated: The expansion provides a direct route to this lower bound when x is nonnegative.AM–GM inequalityCompared with: It is another elementary power bound, but does not compare arithmetic and geometric means.Schur's inequalityCompared with: Bernoulli compares a power with a linear expression, rather than comparing cyclic terms in three variables.Bernoulli familyCompared with: The inequality is named for Jacob and should not be confused with the family's collective work.Young's inequality for productsCompared with: It bounds powers rather than converting a product into a sum of conjugate powers.Von Staudt–Clausen theoremCompared with: Despite the shared name, this inequality is unrelated to Bernoulli-number denominators.