Jensen inequality

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• Jensen — may refer to:People with the surname Jensen: *Jensen (surname)Other *Jensen Electronics, an electronics brand owned by Audiovox Corporation. *Jensen! is a Dutch late night talk show on the television station RTL 5. *Jensen Music, a guitar… …   Wikipedia

• Jensen (disambiguation) — Jensen is a surname meaning Son of Jens . It is the most common surname in Denmark. It may refer to:* The asteroid 5900 Jensen, named after Poul Jensen (astronomer). * Axel Jensen, Norwegian author * Arthur Jensen, an American psychologist *… …   Wikipedia

• Jensen's inequality — In mathematics, Jensen s inequality, named after the Danish mathematician Johan Jensen, relates the value of a convex function of an integral to the integral of the convex function. It was proved by Jensen in 1906 [Jensen, J. Sur les fonctions… …   Wikipedia

• Inequality of arithmetic and geometric means — In mathematics, the inequality of arithmetic and geometric means, or more briefly the AM GM inequality, states that the arithmetic mean of a list of non negative real numbers is greater than or equal to the geometric mean of the same list; and… …   Wikipedia

• Inequality — In mathematics, an inequality is a statement about the relative size or order of two objects, or about whether they are the same or not (See also: equality) *The notation a < b means that a is less than b . *The notation a > b means that a is… …   Wikipedia

• Inequality (mathematics) — Not to be confused with Inequation. Less than and Greater than redirect here. For the use of the < and > signs as punctuation, see Bracket. More than redirects here. For the UK insurance brand, see RSA Insurance Group. The feasible regions… …   Wikipedia

• Chebyshev's inequality — For the similarly named inequality involving series, see Chebyshev s sum inequality. In probability theory, Chebyshev’s inequality (also spelled as Tchebysheff’s inequality) guarantees that in any data sample or probability distribution, nearly… …   Wikipedia

• Hölder's inequality — In mathematical analysis Hölder s inequality, named after Otto Hölder, is a fundamental inequality between integrals and an indispensable tool for the study of Lp spaces. Let (S, Σ, μ) be a measure space and let 1 ≤ p, q ≤ ∞ with… …   Wikipedia

• An inequality on location and scale parameters — For probability distributions having an expected value and a median, the mean (i.e., the expected value) and the median can never differ from each other by more than one standard deviation. To express this in mathematical notation, let mu; , m ,… …   Wikipedia

• Ky Fan inequality — In mathematics, the Ky Fan inequality is an inequality involving the geometric mean and arithmetic mean of two sets of real numbers of the unit interval. The result was published on page 5 of the book Inequalities by Beckenbach and Bellman (1961) …   Wikipedia

• Karamata's inequality — In mathematics, Karamata s inequality, also known as the Majorization Inequality, states that if f(x) is a convex function in x and the sequence :x 1, x 2, ..., x n majorizes:y 1, y 2, ..., y n then :f(x 1)+f(x 2)+...+f(x n) ge f(y 1)+f(y… …   Wikipedia