Levinson's inequality [SEP] named after
Levinson's inequality
In mathematics, Levinson's inequality is the following inequality, due to Norman Levinson, involving positive numbers. Let formula_1 and let formula_2 be a given function having a third derivative on the range formula_3, and such that 
for all formula_5. Suppose formula_6 and formula_7 for formula_8. Then 
The Ky Fan inequality is the special case of Levinson's inequality, where 
and 
References.
- Scott Lawrence and Daniel Segalman: "A generalization of two inequalities involving means", Proceedings of the American
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