Jensen inequality
The Jensen inequality for convex functions plays a crucial role in the Theory of Inequalities due to the fact that other inequalities such as the arithmetic mean- ... ,Jensen's Inequality is a statement about the relative size of the expectation of a function compared with the function over that expectation (with respect to some ... ,2020年6月5日 — Jensen inequality. From Encyclopedia of Mathematics. Jump to: navigation, search. in the simplest discrete form. The inequality. ,The function g(x)=x2 is an example of convex function. Jensen's inequality states that, for any convex function g, we have E[g(X)]≥g(E[X]). So what is a convex ... ,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's Inequality. If p_1 , ..., p_n are positive numbers which sum to 1 and f is a real continuous function that is convex, then ... ,Jensen's Inequality. Theorem. For any concave function f,. E[f(X)] ≤ f(E[X]). Proof. Suppose f is differentiable. The function f is concave if, for any x and y,. ,Jensen's inequality is an inequality involving convexity of a function. We first make the following definitions: A function is convex on an interval ... ,琴生不等式（Jensen's inequality）以丹麥數學家約翰·延森（Johan Jensen）命名。它給出積分的凸函數值和凸函數的積分值間的關係。延森不等式有以下推论：过 ...
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 Jensen inequality 相關參考資料
A new refinement of Jensen's inequality in linear spaces with ...
The Jensen inequality for convex functions plays a crucial role in the Theory of Inequalities due to the fact that other inequalities such as the arithmetic mean- ... https://www.sciencedirect.com Chapter 2 Inequalities involving expectations | 10 ... - Bookdown
Jensen's Inequality is a statement about the relative size of the expectation of a function compared with the function over that expectation (with respect to some ... https://bookdown.org Jensen inequality - Encyclopedia of Mathematics
2020年6月5日 — Jensen inequality. From Encyclopedia of Mathematics. Jump to: navigation, search. in the simplest discrete form. The inequality. https://encyclopediaofmath.org Jensen's Inequality
The function g(x)=x2 is an example of convex function. Jensen's inequality states that, for any convex function g, we have E[g(X)]≥g(E[X]). So what is a convex ... https://www.probabilitycourse. Jensen's inequality - Wikipedia
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 ... https://en.wikipedia.org Jensen's Inequality -- from Wolfram MathWorld
Jensen's Inequality. If p_1 , ..., p_n are positive numbers which sum to 1 and f is a real continuous function that is convex, then ... https://mathworld.wolfram.com Jensen's Inequality Theorem For any concave function f, E[f(X ...
Jensen's Inequality. Theorem. For any concave function f,. E[f(X)] ≤ f(E[X]). Proof. Suppose f is differentiable. The function f is concave if, for any x and y,. http://www.sef.hku.hk Jensen's Inequality | Brilliant Math & Science Wiki
Jensen's inequality is an inequality involving convexity of a function. We first make the following definitions: A function is convex on an interval ... https://brilliant.org 延森不等式- 维基百科，自由的百科全书
琴生不等式（Jensen's inequality）以丹麥數學家約翰·延森（Johan Jensen）命名。它給出積分的凸函數值和凸函數的積分值間的關係。延森不等式有以下推论：过 ... https://zh.wikipedia.org |