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单词 BernoullisInequality
释义

Bernoulli’s inequality


Let x and r be real numbers.If  0>r>-1 or r>1 and x>-1 then

(1+x)r1+xr.

The inequalityMathworldPlanetmath also holds when r is an even integer.For 0<r<1 the inverse inequality holds.

TitleBernoulli’s inequality
Canonical nameBernoullisInequality
Date of creation2013-03-22 11:47:28
Last modified on2013-03-22 11:47:28
Ownerrspuzio (6075)
Last modified byrspuzio (6075)
Numerical id12
Authorrspuzio (6075)
Entry typeTheorem
Classificationmsc 26D99
Classificationmsc 55R40
Classificationmsc 55U15
Classificationmsc 55T25
Classificationmsc 55M05
Classificationmsc 55U30
Classificationmsc 55U10
Related topicInequalitiesForDifferencesAndQuotientsOfPowers
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