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  2. List of inequalities - Wikipedia

    en.wikipedia.org/wiki/List_of_inequalities

    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

  3. Category:Inequalities - Wikipedia

    en.wikipedia.org/wiki/Category:Inequalities

    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

  4. List of real analysis topics - Wikipedia

    en.wikipedia.org/wiki/List_of_real_analysis_topics

    Convolution. Cauchy product –is the discrete convolution of two sequences; Farey sequence – the sequence of completely reduced fractions between 0 and 1; Oscillation – is the behaviour of a sequence of real numbers or a real-valued function, which does not converge, but also does not diverge to +∞ or −∞; and is also a quantitative measure for that.

  5. QM-AM-GM-HM inequalities - Wikipedia

    en.wikipedia.org/wiki/QM-AM-GM-HM_Inequalities

    There are three inequalities between means to prove. There are various methods to prove the inequalities, including mathematical induction, the Cauchy–Schwarz inequality, Lagrange multipliers, and Jensen's inequality. For several proofs that GM ≤ AM, see Inequality of arithmetic and geometric means.

  6. Schur's inequality - Wikipedia

    en.wikipedia.org/wiki/Schur's_inequality

    The standard form of Schur's is the case of this inequality where x = a, y = b, z = c, k = 1, ƒ(m) = m r. [ 1 ] Another possible extension states that if the non-negative real numbers x ≥ y ≥ z ≥ v {\displaystyle x\geq y\geq z\geq v} with and the positive real number t are such that x + v ≥ y + z then [ 2 ]

  7. Hoeffding's inequality - Wikipedia

    en.wikipedia.org/wiki/Hoeffding's_inequality

    Hoeffding's inequality is a special case of the Azuma–Hoeffding inequality and McDiarmid's inequality. It is similar to the Chernoff bound, but tends to be less sharp, in particular when the variance of the random variables is small. [2] It is similar to, but incomparable with, one of Bernstein's inequalities.

  8. Inequality (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Inequality_(mathematics)

    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]

  9. Pinsker's inequality - Wikipedia

    en.wikipedia.org/wiki/Pinsker's_inequality

    In information theory, Pinsker's inequality, named after its inventor Mark Semenovich Pinsker, is an inequality that bounds the total variation distance (or statistical distance) in terms of the Kullback–Leibler divergence. The inequality is tight up to constant factors.

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