Proving inequalities by using probability method
JIA Chao-yong
PAN Yu-rong
Abstract：This paper shows how to use the ideas and methods of probability theory to prove inequality through the examples cited to readers, the key point is according to the specific form of inequality to construct the appropriate probability model, then using computation of random events, and the related properties of probability, the definition of mathematical expectation of random variable function, Chebyshev inequality or Markov inequality to prove inequality. The proof method provides a new idea for proving inequality, and also communicates the connection between different mathematics subjects.
Keywords：inequalityprobability modelrandom variablesChebyshev inequalityMarkov inequality
Publication Date：2016-01-01
Online Publishing Date：2025-08-15(First online date of this platform, not the publication date of the document)
Pages：5( 12-16 )