: For other inequalities named after Wirtinger, see Wirtinger's inequality.
Inequality of bargaining power | gender inequality | Wirtinger's inequality | Steffensen's inequality | Samuelson's inequality | Minkowski inequality | Inequality for All | Hölder's inequality | Hitchin–Thorpe inequality | Fisher's inequality | Economic inequality | Chebyshev's sum inequality | Cauchy's inequality | Cauchy–Schwarz inequality |
In probability theory, the Azuma–Hoeffding inequality (named after Kazuoki Azuma and Wassily Hoeffding) gives a concentration result for the values of martingales that have bounded differences.
A fundamental theorem, Fisher's inequality, named after the statistician Ronald Fisher, is that b ≥ v in any 2-design.
For 0 < p ≤ q ≤ ∞, the class Hq is a subset of Hp, and the Hp-norm is increasing with p (it is a consequence of Hölder's inequality that the Lp-norm is increasing for probability measures, i.e. measures with total mass 1).
Tristan Needham (1993) "A Visual Explanation of Jensen's Inequality", American Mathematical Monthly 100(8):768–71.
Steffensen's inequality and Steffensen's method (an iterative numerical method) are named after him.
Since the right-hand side of the identity is clearly non-negative, it implies Cauchy's inequality in the finite-dimensional real coordinate space ℝn and its complex counterpart ℂn.
"A Two-Triangle Inequality", Daniel Pedoe, The American Mathematical Monthly, volume 70, number 9, page 1012, November, 1963.
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In geometry, Pedoe's inequality, named after Daniel Pedoe, states that if a, b, and c are the lengths of the sides of a triangle with area ƒ, and A, B, and C are the lengths of the sides of a triangle with area F, then
The inequality in the above form was proved independently by Kullback, Csiszár, and Kemperman.
It is possible to determine the bounds of the roots of a polynomial using Samuelson's inequality.