Question

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

score 194 · Answer 1 · 2026-05-11 04:18:03

194

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

Published on 11 May 2026 - 4:18

score 42 · Answer 2 · 2026-04-16 12:28:51

42

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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 16 Apr 2026 - 12:28

score 495 · Answer 3 · 2026-04-16 04:15:01

495

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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 16 Apr 2026 - 4:15

score 425 · Answer 4 · 2026-04-14 11:30:28

425

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

Published on 14 Apr 2026 - 11:30

score 1.1k · Answer 5 · 2026-04-17 04:31:29

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 17 Apr 2026 - 4:31

score 79 · Answer 6 · 2026-04-12 00:07:50

79

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Simplifying integral comparison

Published on 12 Apr 2026 - 0:07

score 1.9k · Answer 7 · 2026-04-12 16:01:54

1.9k

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Integral inequality - École Polytechnique International Entrance Exam

Published on 12 Apr 2026 - 16:01

score 798 · Answer 8 · 2026-04-17 10:21:46

798

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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 17 Apr 2026 - 10:21

score 85 · Answer 9 · 2026-04-15 11:08:16

85

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Alternative version of Gronwall's inequality

Published on 15 Apr 2026 - 11:08

score 116 · Answer 10 · 2026-04-13 12:23:21

116

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Concerning the inequality from Kolmogorov's continuity theorem.

Published on 13 Apr 2026 - 12:23

score 342 · Answer 11 · 2026-04-14 20:51:07

342

Views

Where can I learn how to solve integral inequalities?

Published on 14 Apr 2026 - 20:51

score 150 · Answer 12 · 2026-04-16 00:45:10

150

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

Published on 16 Apr 2026 - 0:45

score 2.8k · Answer 13 · 2026-04-15 01:53:44

2.8k

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

Published on 15 Apr 2026 - 1:53

score 972 · Answer 14 · 2026-04-16 01:29:08

972

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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 16 Apr 2026 - 1:29

score 31 · Answer 15 · 2026-04-15 20:41:24

31

Views

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

Published on 15 Apr 2026 - 20:41

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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