Muirhead's inequality [SEP] named after
Muirhead's inequality
In mathematics, Muirhead's inequality, named after Robert Franklin Muirhead, also known as the "bunching" method, generalizes the inequality of arithmetic and geometric means.
Preliminary definitions.
Preliminary definitions "a"-mean.
For any real vector
define the ""a"-mean" ["a"] of positive real numbers "x", ..., "x" by
where the sum extends over all permutations σ of { 1, ..., "n" }.
When the elements of "
Littlewood maximal inequality
- Inequality of arithmetic and geometric means
- Ky Fan inequality
- Levinson's inequality
- Maclaurin's inequality
- Mahler's inequality
- Muirhead's inequality
- Newton's inequalities
- Stein–Strömberg theorem
Inequalities in pure mathematics Combinatorics.
- Binomial coefficient bounds
- Factorial bounds
- Fishburn–Shepp inequality
- Fisher's inequality
- Ingleton's inequality
- Lubell–Yamamoto–Meshalkin inequality
- Nesbitt's inequality
- Rearrangement inequality
- Schur's inequality