
Elementary Math Fractions, Percentages, Word Problems, Equations, Inequations, Factorization, Expansion 
 LinkBack  Thread Tools  Display Modes 
October 11th, 2018, 05:05 AM  #1 
Newbie Joined: Nov 2013 Posts: 20 Thanks: 0  Prove an inequality.
Given that $\textstyle\sum_x2^{H\left(x\right)}<1$, prove that ${\textstyle\sum_x}p\left(x\right)\log p\left(x\right)<{\textstyle\sum_x}p\left(x\right)H \left(x\right)$. $p\left(x\right)$ is a distribution. $H\left(x\right)$ is always greater than 1.


Tags 
inequality, prove 
Thread Tools  
Display Modes  

Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
Prove the inequality  Elis  Algebra  2  May 14th, 2018 10:10 AM 
Triangle Inequality: Prove Absolute Value Inequality  StillAlive  Calculus  5  September 2nd, 2016 11:45 PM 
Prove an inequality  taugourde  Economics  0  February 13th, 2014 06:44 AM 
Can you prove this inequality?  NYjer  Number Theory  4  December 25th, 2012 11:01 PM 
to prove inequality  jamesb1  Algebra  3  November 12th, 2011 08:07 AM 