List questions from jensen-inequality

224

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Given three positive numbers $a,b,c$ so that $a\leqq b\leqq c$. Prove that $\sum\limits_{cyc}\frac{a+1.4b}{1.4a+b}\geqq 3$ .

Published on 16 Apr 2026 - 6:27

242

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lower bounding logarithm of sums

Published on 15 Apr 2026 - 0:13

279

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Wikipedia's proof of Jensen's inequality

Published on 12 Apr 2026 - 4:54

79

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Example of a random variable for which $\|\mathbb{E}[x]\| <\infty$ but $\mathbb{E}[\|x\|]=\infty$

Published on 14 Apr 2026 - 14:26

190

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Jensen gap for a real-valued random variable $X \geq 0$

Published on 16 Apr 2026 - 7:49

74

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A Jensen like inequality

Published on 13 Apr 2026 - 18:59

264

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New bounds for convex function of 2 variables

Published on 10 May 2026 - 14:30

272

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Maximize an unweighted sum given a weighted sum

Published on 10 Apr 2026 - 22:13

998

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Find maximum and minimum of $\sin x + \sin y$

Published on 10 May 2026 - 14:30

75

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How to prove inequality $a^{\frac{1}{b}}+b^{\frac{1}{a}}\leq \frac {1}{2}$ if $0 <a,b < 1$ and $a+b=1$?

Published on 15 Apr 2026 - 22:13

471

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Is Jensen's Inequality strict for the maximum function?

Published on 11 Apr 2026 - 8:37

78

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Strict inequality on the exponential function

Published on 12 Apr 2026 - 0:15

143

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Stronger than Jensen's inequality

Published on 10 May 2026 - 15:28

120

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Inequality involving $\ln(\sin(x))$

Published on 15 Apr 2026 - 3:10

240

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prove $ \sum_{i=1}^{n}= I(p_i) \ge n \log n$ self entropy

Published on 16 Apr 2026 - 10:00

List Question

Given three positive numbers $a,b,c$ so that $a\leqq b\leqq c$. Prove that $\sum\limits_{cyc}\frac{a+1.4b}{1.4a+b}\geqq 3$ .

lower bounding logarithm of sums

Wikipedia's proof of Jensen's inequality

Example of a random variable for which $\|\mathbb{E}[x]\| <\infty$ but $\mathbb{E}[\|x\|]=\infty$

Jensen gap for a real-valued random variable $X \geq 0$

A Jensen like inequality

New bounds for convex function of 2 variables

Maximize an unweighted sum given a weighted sum

Find maximum and minimum of $\sin x + \sin y$

How to prove inequality $a^{\frac{1}{b}}+b^{\frac{1}{a}}\leq \frac {1}{2}$ if $0 <a,b < 1$ and $a+b=1$?

Is Jensen's Inequality strict for the maximum function?

Strict inequality on the exponential function

Stronger than Jensen's inequality

Inequality involving $\ln(\sin(x))$

prove $ \sum_{i=1}^{n}= I(p_i) \ge n \log n$ self entropy

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