List questions from jensen-inequality

Published on 26 Apr 2023 - 14:02

132

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Popoviciu's inequality

Published on 16 Mar 2026 - 20:45

61

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Show inequality about riemann integrals with jensen inequality

Published on 19 May 2023 - 12:17

79

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Show that $\mathbb{E}\left(|X|^q\right) \leq \left[\mathbb{E}\left(|X|^p\right)\right]^{\frac{q}{p}}$

Published on 20 May 2023 - 22:15

42

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Expectation of transformed mean of multiple random variables <= mean of the expectation of their transformation

Published on 30 May 2023 - 22:09

83

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$\sum\limits_{\mathrm{cyc}} \frac{a}{2a^2+a+1}\leq\frac{3}{4}$, with $a,b,c\in\mathbb{R}^+,\ a+b+c=3$

Published on 18 Jun 2023 - 13:22

79

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Jensen's inequality for Euclidean spaces with extended reals

Published on 20 Jun 2023 - 18:19

1.1k

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Bounding "Jensen's Gap": Elementary Approaches

Published on 20 Jun 2023 - 20:23

58

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Strict Jensen inequality for Ergodic Markov processes

Published on 27 Feb 2026 - 16:32

47

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Let $f(x)=x^2+3x-3,x\gt0.$ If $n$ points $x_1,x_2,...,x_n$ are chosen on the x-axis, evaluate $\frac{x_1+x_2+...+x_n}n$

Published on 27 Jun 2023 - 15:51

38

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Maximizing the sum of side lengths of a circumscribed tetrahedron

Published on 18 Jul 2023 - 17:33

36

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Single inflection point theorem

Published on 21 Jul 2023 - 12:39

84

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Jensen's inequality with expectation of log and determinant

Published on 27 Jul 2023 - 6:40

162

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Conditional Jensen's inequality proof correctness. Queries regarding convex functions.

Published on 03 Aug 2023 - 10:49

58

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Jensen inequality with fraction expectation, determinant, and log function

Published on 07 Aug 2023 - 4:08

List Question

About Jensen’s inequality and Fano’s inequality

Popoviciu's inequality

Show inequality about riemann integrals with jensen inequality

Show that $\mathbb{E}\left(|X|^q\right) \leq \left[\mathbb{E}\left(|X|^p\right)\right]^{\frac{q}{p}}$

Expectation of transformed mean of multiple random variables <= mean of the expectation of their transformation

$\sum\limits_{\mathrm{cyc}} \frac{a}{2a^2+a+1}\leq\frac{3}{4}$, with $a,b,c\in\mathbb{R}^+,\ a+b+c=3$

Jensen's inequality for Euclidean spaces with extended reals

Bounding "Jensen's Gap": Elementary Approaches

Strict Jensen inequality for Ergodic Markov processes

Let $f(x)=x^2+3x-3,x\gt0.$ If $n$ points $x_1,x_2,...,x_n$ are chosen on the x-axis, evaluate $\frac{x_1+x_2+...+x_n}n$

Maximizing the sum of side lengths of a circumscribed tetrahedron

Single inflection point theorem

Jensen's inequality with expectation of log and determinant

Conditional Jensen's inequality proof correctness. Queries regarding convex functions.

Jensen inequality with fraction expectation, determinant, and log function

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