Bernoullis Inequality

Posted in Statistics, Total Reads: 1122
Advertisements

Definition: Bernoullis Inequality

Bernoulli’s Inequality approximates the exponentiations of 1+x. the inequality states that


(1+x)^r  >=  1+rx , for x>= - 1 and r>=0 ,


this holds true for every integer r and every real number x.


Bernoulli’s inequality is a part of statistics which simplifies complex calculations and saves valuable time. This is an approximation to the accurate value which fits the consideration set every time.


If r is even, the equation (1+x) ^r > 1+rx holds true for all real numbers of x. While there is another form of Bernoulli’s Inequality such as (1+x) ^r > 1+rx which holds for r>=2 and x>=-1 except for X not equal to zero. The proof of many inequalities is based on Bernoulli’s inequality which has been proved through induction.


Browse the definition and meaning of more terms similar to Bernoullis Inequality. The Management Dictionary covers over 7000 business concepts from 6 categories.

Search & Explore : Management Dictionary



Share this Page on: