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The feasible regions of linear programming are defined by a set of inequalities.. In mathematics, an inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions. [1]
Bennett's inequality, an upper bound on the probability that the sum of independent random variables deviates from its expected value by more than any specified amount Bhatia–Davis inequality , an upper bound on the variance of any bounded probability distribution
Bernoulli's inequality can be proved for case 2, in which is a non-negative integer and , using mathematical induction in the following form: we prove the inequality for {,}, from validity for some r we deduce validity for +.
In mathematics, an inequation is a statement that an inequality holds between two values. [1] [2] It is usually written in the form of a pair of expressions denoting the values in question, with a relational sign between them indicating the specific inequality relation. Some examples of inequations are:
Two-dimensional linear inequalities are expressions in two variables of the form: + < +, where the inequalities may either be strict or not. The solution set of such an inequality can be graphically represented by a half-plane (all the points on one "side" of a fixed line) in the Euclidean plane. [2]
Carleman's inequality; Cauchy–Schwarz inequality; Chebyshev–Markov–Stieltjes inequalities; Chebyshev's sum inequality; Christ–Kiselev maximal inequality; CHSH inequality; Clarkson's inequalities; Cohn-Vossen's inequality; Correlation inequality; Cotlar–Stein lemma; Crossing number inequality
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