Question

Upper bound for the nth derivative of $\Gamma(x)^n$

score 193 · Answer 1 · 2026-03-25 17:39:09

193

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Upper bound for the nth derivative of $\Gamma(x)^n$

Published on 25 Mar 2026 - 17:39

score 39 · Answer 2 · 2020-08-01 22:21:41

39

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Let $f : [0, r) \rightarrow [0, \infty)$ and $f \in \mathscr{C}^{0}$ and strictly increasing with $f(0) = 0$

Published on 01 Aug 2020 - 22:21

score 492 · Answer 3 · 2020-08-02 08:16:37

492

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Show that the inequality $\left|\int_{0}^{1} f(x)\,dx\right| \leq \frac{1}{12}$ holds for certain initial conditions

Published on 02 Aug 2020 - 8:16

score 423 · Answer 4 · 2026-03-26 17:52:28

423

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Modified Energy Method for Transformed Fokker-Planck Equation (Tricky Integration by parts...)

Published on 26 Mar 2026 - 17:52

score 1.1k · Answer 5 · 2020-08-07 12:59:50

1.1k

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Prove that $\left|30240\int_{0}^{1}x(1-x)f(x)f'(x)dx\right|\le1$.

Published on 07 Aug 2020 - 12:59

score 76 · Answer 6 · 2020-08-08 06:37:27

76

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Simplifying integral comparison

Published on 08 Aug 2020 - 6:37

score 1.9k · Answer 7 · 2020-08-12 21:02:26

1.9k

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Integral inequality - École Polytechnique International Entrance Exam

Published on 12 Aug 2020 - 21:02

score 796 · Answer 8 · 2026-03-26 16:10:12

796

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Proving $\int_{0}^{1}xf(x)dx \leq \frac{2}{3}\int_{0}^{1}f(x)dx$ for all concave functions $f: [0,1]\rightarrow [0,\infty)$

Published on 26 Mar 2026 - 16:10

score 82 · Answer 9 · 2020-08-14 20:55:27

82

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Alternative version of Gronwall's inequality

Published on 14 Aug 2020 - 20:55

score 113 · Answer 10 · 2020-08-16 17:27:10

113

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Concerning the inequality from Kolmogorov's continuity theorem.

Published on 16 Aug 2020 - 17:27

score 339 · Answer 11 · 2020-08-25 18:33:47

339

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Where can I learn how to solve integral inequalities?

Published on 25 Aug 2020 - 18:33

score 148 · Answer 12 · 2026-03-26 17:37:36

148

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Is the infimum $\int_{X} F(g)$ over all $g$ such that $ \int_X g=c $ obtained?

Published on 26 Mar 2026 - 17:37

score 2.8k · Answer 13 · 2026-03-27 00:56:27

2.8k

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Holder's Inequality for integrals (non-negative functions)

Published on 27 Mar 2026 - 0:56

score 969 · Answer 14 · 2020-09-11 13:51:09

969

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Finding the maximum value of $\int_0^1 (f(x))^3 dx$, given certain conditions on $f(x)$ and $\int_0^1 f(x) dx$

Published on 11 Sep 2020 - 13:51

score 28 · Answer 15 · 2020-09-11 14:49:11

28

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Gronwall's inequality for $\dot{x}(t) \le -c|x(t)|^p$, with $c>0$ and $0 < p \le 1$ fixed constant.

Published on 11 Sep 2020 - 14:49

List Question

Upper bound for the nth derivative of $\Gamma(x)^n$

Let $f : [0, r) \rightarrow [0, \infty)$ and $f \in \mathscr{C}^{0}$ and strictly increasing with $f(0) = 0$

Show that the inequality $\left|\int_{0}^{1} f(x)\,dx\right| \leq \frac{1}{12}$ holds for certain initial conditions

Modified Energy Method for Transformed Fokker-Planck Equation (Tricky Integration by parts...)

Prove that $\left|30240\int_{0}^{1}x(1-x)f(x)f'(x)dx\right|\le1$.

Simplifying integral comparison

Integral inequality - École Polytechnique International Entrance Exam

Proving $\int_{0}^{1}xf(x)dx \leq \frac{2}{3}\int_{0}^{1}f(x)dx$ for all concave functions $f: [0,1]\rightarrow [0,\infty)$

Alternative version of Gronwall's inequality

Concerning the inequality from Kolmogorov's continuity theorem.

Where can I learn how to solve integral inequalities?

Is the infimum $\int_{X} F(g)$ over all $g$ such that $ \int_X g=c $ obtained?

Holder's Inequality for integrals (non-negative functions)

Finding the maximum value of $\int_0^1 (f(x))^3 dx$, given certain conditions on $f(x)$ and $\int_0^1 f(x) dx$

Gronwall's inequality for $\dot{x}(t) \le -c|x(t)|^p$, with $c>0$ and $0 < p \le 1$ fixed constant.

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