- Bernstein inequality
In mathematics, Bernstein inequality may refer to:
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Bernstein's inequality (mathematical analysis)
*Bernstein inequalities (probability theory) disambig
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Bernstein inequality
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Bernstein's inequality (mathematical analysis) — In the mathematical theory of mathematical analysis, Bernstein s inequality, named after Sergei Natanovich Bernstein, is defined as follows.Let P be a polynomial of degree n with derivative P prime; . Then:max(P ) le ncdotmax(P) where we define… … Wikipedia
Bernstein inequalities (probability theory) — In probability theory, the Bernstein inequalities are a family of inequalities proved by Sergei Bernstein in the 1920 s and 1930 s. In these inequalities, X 1, X 2, X 3, dots, X n are random variables with zero expected value: mathbf{E} X i = 0.… … Wikipedia
Bernstein — It may refer to:People* Dan Bern, American musician who previously performed under the name Bernstein * Eric Berne, American psychiatrist and writer * Aaron Bernstein * Alexander Bernstein, Baron Bernstein of Craigweil, British television… … Wikipedia
Hoeffding's inequality — Hoeffding s inequality, named after Wassily Hoeffding, is a result in probability theory that gives an upper bound on the probability for the sum of random variables to deviate from its expected value.Let :X 1, dots, X n ! be independent random… … Wikipedia
Concentration inequality — In mathematics, concentration inequalities provide probability bounds on how a random variable deviates from some value (e.g. its expectation). The laws of large numbers of classical probability theory state that sums of independent random… … Wikipedia
Sergei Natanovich Bernstein — Infobox Scientist name = Sergei Natanovich Bernstein image width = 300px caption = Sergei Natanovich Bernstein birth date = birth date|1880|3|5|df=y birth place = Odessa, Imperial Russia death date = death date and age|1968|10|26|1880|3|5|df=y… … Wikipedia
Azuma's 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.Suppose { X k : k = 0, 1, 2, 3, ... } is a martingale … Wikipedia
Markov brothers' inequality — In mathematics, the Markov brothers inequality is an inequality proved by Andrey Markov and Vladimir Markov. This inequality bounds the maximum of the derivatives of a polynomial on an interval in terms of the maximum of the polynomial.[1] For k … Wikipedia
Markov's inequality — gives an upper bound for the measure of the set (indicated in red) where f(x) exceeds a given level . The bound combines the level with the average value of f … Wikipedia
Approximation de Bernstein — En analyse, l approximation de Bernstein est une méthode d approximation polynomiale, permettant d approcher uniformément une fonction continue f définie sur l intervalle [0,1] par une suite de combinaisons linéaires des polynômes de Bernstein.… … Wikipédia en Français
