List questions from functional-inequalities

Published on 05 Dec 2019 - 13:40

65

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How to find a constant such that this inequality holds in $H^1$

Published on 11 Dec 2019 - 15:56

477

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Is there any concave and strictly increasing function ‎ with the following properties?‎

Published on 03 Jan 2020 - 13:41

51

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Find $f \in C^1$ when $\forall x\in\mathbb{R}\;h\in\mathbb{R}\;\; f(x) \geq x+1,\: f(x+h) \geq f(x)f(h)$

Published on 15 Jan 2020 - 17:10

1.9k

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Proving $L^p$ is a uniformly convex Banach space.

Published on 06 Feb 2020 - 21:19

68

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Map $\mathbb{R} \to \mathcal{L}(L^2(\mathbb{R}),L^2(\mathbb{R}))$ is continuous under certain operator topologies

Published on 06 Feb 2020 - 23:58

64

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If $f'' \ge 0$, for $a, b \in (0, 1)$, prove that $f(ab)\le af(b)$

Published on 23 Feb 2026 - 8:34

155

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If $f''\ge 0$, prove that $f(x+f'(x)) \ge f(x)$

Published on 08 Feb 2020 - 5:34

164

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Maximum norm of functions; real functional analysis

Published on 09 Feb 2020 - 19:45

163

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Is it true that $|\arcsin z | \le |\frac {\pi z} {2} |$?

Published on 10 Feb 2020 - 14:32

139

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Inclusions and inequalities $L^2$ and $L^\infty$

Published on 10 Feb 2020 - 16:26

49

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Sublinear Inequality

Published on 25 Mar 2026 - 7:56

213

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$\frac{(x-y)^3}{x+y}\neq g(f(x)-f(y))$?

Published on 12 Feb 2020 - 22:02

275

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Trace theorems and Sobolev Spaces in unbounded domains

Published on 25 Mar 2026 - 6:19

29

Views

Poincaré inequlity

Published on 25 Mar 2026 - 12:43

List Question

How does this result follow for this function?

How to find a constant such that this inequality holds in $H^1$

Is there any concave and strictly increasing function ‎ with the following properties?‎

Find $f \in C^1$ when $\forall x\in\mathbb{R}\;h\in\mathbb{R}\;\; f(x) \geq x+1,\: f(x+h) \geq f(x)f(h)$

Proving $L^p$ is a uniformly convex Banach space.

Map $\mathbb{R} \to \mathcal{L}(L^2(\mathbb{R}),L^2(\mathbb{R}))$ is continuous under certain operator topologies

If $f'' \ge 0$, for $a, b \in (0, 1)$, prove that $f(ab)\le af(b)$

If $f''\ge 0$, prove that $f(x+f'(x)) \ge f(x)$

Maximum norm of functions; real functional analysis

Is it true that $|\arcsin z | \le |\frac {\pi z} {2} |$?

Inclusions and inequalities $L^2$ and $L^\infty$

Sublinear Inequality

$\frac{(x-y)^3}{x+y}\neq g(f(x)-f(y))$?

Trace theorems and Sobolev Spaces in unbounded domains

Poincaré inequlity

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