List questions from jensen-inequality

Published on 17 Aug 2017 - 15:00

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Prove that $ \sin \frac{A}{2} \sin \frac{B}{2} \sin \frac{C}{2} \le \frac{1}{8}$

Published on 25 Aug 2017 - 4:49

154

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For any $\triangle ABC$, $(1 - \cos A)(1 - \cos B)(1 - \cos C) \le \frac{1}{8}$ (and generalizing to convex polgyons)

Published on 26 Aug 2017 - 14:46

161

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Probability of a non negative distribution

Published on 14 Sep 2017 - 13:24

827

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The right way to compute Jensen-Shannon divergence?

Published on 19 Sep 2017 - 20:01

66

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Condition similar to Jensen's inequality

Published on 20 Sep 2017 - 2:47

894

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Triangle inequality square #2

Published on 25 Sep 2017 - 16:02

378

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Jensen's inequality proof for X that takes on only finitely many values.

Published on 26 Sep 2017 - 2:24

3.5k

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Jensen's inequality and conditional expectation

Published on 04 Oct 2017 - 21:52

89

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Simulating random variable from exp( AR(1))

Published on 04 Oct 2017 - 22:30

233

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Inequality with condition $\sum\limits_{1\leq i,j\leq n}|1-x_ix_j|=\sum\limits_{1\leq i,j\leq n}|x_i-x_j|$

Published on 05 Oct 2017 - 12:31

1k

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Proof of Holder's inequality for counting measure

Published on 11 Oct 2017 - 14:48

102

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Confusion about Convex Functions

Published on 16 Oct 2017 - 8:24

225

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Suppose $E(2^X)=4$. Prove that $P(X \ge 3) \le {1 \over 2}$.

Published on 17 Oct 2017 - 13:14

147

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Prove that square has the minimal area of all tangential quadrilaterals

Published on 18 Oct 2017 - 18:11

List Question

A question of trigonometry on how to find minimum value.

Prove that $ \sin \frac{A}{2} \sin \frac{B}{2} \sin \frac{C}{2} \le \frac{1}{8}$

For any $\triangle ABC$, $(1 - \cos A)(1 - \cos B)(1 - \cos C) \le \frac{1}{8}$ (and generalizing to convex polgyons)

Probability of a non negative distribution

The right way to compute Jensen-Shannon divergence?

Condition similar to Jensen's inequality

Triangle inequality square #2

Jensen's inequality proof for X that takes on only finitely many values.

Jensen's inequality and conditional expectation

Simulating random variable from exp( AR(1))

Inequality with condition $\sum\limits_{1\leq i,j\leq n}|1-x_ix_j|=\sum\limits_{1\leq i,j\leq n}|x_i-x_j|$

Proof of Holder's inequality for counting measure

Confusion about Convex Functions

Suppose $E(2^X)=4$. Prove that $P(X \ge 3) \le {1 \over 2}$.

Prove that square has the minimal area of all tangential quadrilaterals

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