List questions from functional-inequalities

Published on 14 Jul 2015 - 14:03

76

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Suppose that $g(x) = \frac{f(x+1)-f(1)}{f(x)-f(0)} \geq g(1)$, what do we know about $f$?

Published on 16 Jul 2015 - 13:41

89

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Need help in solving inequality of this type: $|ax + b| > -c$

Published on 22 Jul 2015 - 13:00

173

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Proving an inequality involving discrete variables

Published on 30 Jul 2015 - 15:25

480

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When does $f\left [g\left (x \right ) \right ]=g\left [ f\left ( x \right ) \right ]$ have roots.

Published on 10 Aug 2015 - 5:29

295

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Question about equivalent norms on $W^{2,2}(\Omega) \cap W^{1,2}_0(\Omega)$.

Published on 18 Aug 2015 - 12:38

571

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$t\in (0,1)$ and $f(tx+(1-t)y)\le tf(x)+(1-t)f(y)$. Show that if strict inequality holds for even one $t$, then it holds for all $t$.

Published on 24 Aug 2015 - 16:13

57

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Finding a function such that $(n-2)/2 + f(n-1) \leq f(n)$

Published on 24 Aug 2015 - 16:27

217

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Finding a function satisfying a certain inequality

Published on 29 Aug 2015 - 14:14

26

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Fractions in L^\infty

Published on 30 Aug 2015 - 16:00

38

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What is the purpose of continuous and differentiable dependence

Published on 01 Sep 2015 - 18:32

56

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Typical Inequalities for real numbers

Published on 05 Sep 2015 - 9:30

3.7k

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An upper bound of binary entropy

Published on 12 Sep 2015 - 11:44

188

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Show that a recurrence relation is bounded

Published on 15 Sep 2015 - 20:51

67

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Brunn-Minkowski Inequality : A Partucular Example of a 2 dimensional set.

Published on 29 Sep 2015 - 3:53

List Question

How to show $ \Big\vert \frac{\sin(x)}{x} \Big\vert $ is bounded by $1$?

Suppose that $g(x) = \frac{f(x+1)-f(1)}{f(x)-f(0)} \geq g(1)$, what do we know about $f$?

Need help in solving inequality of this type: $|ax + b| > -c$

Proving an inequality involving discrete variables

When does $f\left [g\left (x \right ) \right ]=g\left [ f\left ( x \right ) \right ]$ have roots.

Question about equivalent norms on $W^{2,2}(\Omega) \cap W^{1,2}_0(\Omega)$.

$t\in (0,1)$ and $f(tx+(1-t)y)\le tf(x)+(1-t)f(y)$. Show that if strict inequality holds for even one $t$, then it holds for all $t$.

Finding a function such that $(n-2)/2 + f(n-1) \leq f(n)$

Finding a function satisfying a certain inequality

Fractions in L^\infty

What is the purpose of continuous and differentiable dependence

Typical Inequalities for real numbers

An upper bound of binary entropy

Show that a recurrence relation is bounded

Brunn-Minkowski Inequality : A Partucular Example of a 2 dimensional set.

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