List questions from functional-inequalities

Published on 13 Jun 2013 - 18:10

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maximize the expected value of the logarithm of the weighted average of random variables

Published on 18 Jun 2013 - 11:13

521

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What is the minimum value of $\sqrt{\frac{2(x - 1)}{x}} + \frac{x + 1}{x}$, if $x > 1$?

Published on 14 Jul 2013 - 10:26

138

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What is the maximum value of $\frac{2x}{x + 1} + \frac{x}{x - 1}$, if $x \in \mathbb{R}$ and $x > 1$?

Published on 14 Jul 2013 - 10:35

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Weighted Poincare Inequality

Published on 16 Jul 2013 - 14:11

361

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Does this inequality hold true, in general?

Published on 17 Jul 2013 - 2:13

54

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Finding appropriate function

Published on 23 Jul 2013 - 9:35

943

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How to prove equality from poincare inequality?

Published on 27 Jul 2013 - 6:24

463

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A question about odd perfect numbers

Published on 30 Jul 2013 - 2:06

302

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Does the following inequality hold if and only if $N$ is an odd deficient number?

Published on 07 Aug 2013 - 21:45

84

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Prove that $\frac1{x}-x$ is multiplicatively subadditive in $(0, 1)$

Published on 15 Aug 2013 - 19:16

879

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Convexity of log sum function

Published on 22 Aug 2013 - 21:09

607

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Strong Induction on Inequalities

Published on 26 Aug 2013 - 15:33

152

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What proportion of the natural numbers satisfy the following inequalities?

Published on 29 Aug 2013 - 6:52

66

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Probability bounds

Published on 10 Sep 2013 - 17:34

List Question

Does $1 + \frac{1}{x} + \frac{1}{x^2}$ have a global minimum for $0 < x \in \mathbb{R}$?

maximize the expected value of the logarithm of the weighted average of random variables

What is the minimum value of $\sqrt{\frac{2(x - 1)}{x}} + \frac{x + 1}{x}$, if $x > 1$?

What is the maximum value of $\frac{2x}{x + 1} + \frac{x}{x - 1}$, if $x \in \mathbb{R}$ and $x > 1$?

Weighted Poincare Inequality

Does this inequality hold true, in general?

Finding appropriate function

How to prove equality from poincare inequality?

A question about odd perfect numbers

Does the following inequality hold if and only if $N$ is an odd deficient number?

Prove that $\frac1{x}-x$ is multiplicatively subadditive in $(0, 1)$

Convexity of log sum function

Strong Induction on Inequalities

What proportion of the natural numbers satisfy the following inequalities?

Probability bounds

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