Majorization is a mathematical term from set theory .
Let be where .
They say that many majorizes a lot (indicated by ) if the following is true:
If the last equality is replaced by a less strong condition then lax majorizes .
Majorization can be generalized to the case of disordered sets of numbers. A bunch of majorizes a lot if nonincreasing permutation majorizes non-increasing permutation .
Generally, for any the following is true:
Let be - monomial symmetrization , - monomial symmetrization . If then for all non-negative inequality holds .