Question

Integral inequality with several variable functions

score 77 · Answer 1 · 2026-04-11 00:04:31

77

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Integral inequality with several variable functions

Published on 11 Apr 2026 - 0:04

score 113 · Answer 2 · 2026-04-16 06:02:05

113

Views

Log integral inequality

Published on 16 Apr 2026 - 6:02

score 921 · Answer 3 · 2026-04-14 14:22:23

921

Views

Poincaré inequality 1D

Published on 14 Apr 2026 - 14:22

score 247 · Answer 4 · 2026-04-09 08:55:24

247

Views

Does square of an inequality holding in probability change the probability value?

Published on 09 Apr 2026 - 8:55

score 73 · Answer 5 · 2026-05-15 21:02:15

73

Views

If $u\in L^{\frac{3}{2}+\delta}(\mathbb{R}^3)\cap L^{\frac{3}{2}-\delta}(\mathbb{R}^3)$ show that $v=u\ast \frac{1}{|x|}\in L^\infty(\mathbb{R}^3)$

Published on 15 May 2026 - 21:02

score 112 · Answer 6 · 2026-04-17 05:29:31

112

Views

Proving the inquality $\int_{0}^{\infty} f^\lambda(t)d(t^\lambda) \le \left(\int_{0}^{\infty} f(t)dt\right)^\lambda$ for $\lambda\ge 1$

Published on 17 Apr 2026 - 5:29

score 366 · Answer 7 · 2026-04-14 04:49:05

366

Views

Clarification of an integral inequality used in proof of Chebyshev's inequality

Published on 14 Apr 2026 - 4:49

score 107 · Answer 8 · 2026-04-11 00:06:49

107

Views

Proof of finiteness of the following integral

Published on 11 Apr 2026 - 0:06

score 100 · Answer 9 · 2026-04-15 09:32:12

100

Views

Prove that $\int_{0}^{1} |p(x)| dx \leq \frac{\pi}{2} $

Published on 15 Apr 2026 - 9:32

score 295 · Answer 10 · 2026-04-16 22:03:43

295

Views

Estimate the integral $\frac{1}{2\pi i}\int\frac{-e^{-z}+1}{1+ze^{-z}-\pi}\,\mathrm{d}z$

Published on 16 Apr 2026 - 22:03

score 174 · Answer 11 · 2026-04-13 18:17:41

174

Views

Use Yang's inequality to prove $ab\leq e^{a-1}+b\ln b$

Published on 13 Apr 2026 - 18:17

score 137 · Answer 12 · 2026-04-16 01:15:17

137

Views

Prove $\int_0^{\pi/2} x\left({\sin nx\over \sin x}\right)^4\mathrm{d}x<{n^2\pi^2\over 8}$

Published on 16 Apr 2026 - 1:15

score 81 · Answer 13 · 2026-04-15 23:18:03

81

Views

Proof of Poincaré type inequality

Published on 15 Apr 2026 - 23:18

score 116 · Answer 14 · 2026-03-27 04:38:25

116

Views

$\left|\int_{0}^{2\pi}f(t)\sin nt\text{d}t\right|\leq\frac{4}{n^2}$

Published on 27 Mar 2026 - 4:38

score 222 · Answer 15 · 2026-04-16 17:14:28

222

Views

Does the inequality $\left(\int_0^1 f(t)dt\right)^2 \leq \int_0^1(f\circ f\circ f)(t)dt$ hold?

Published on 16 Apr 2026 - 17:14

List Question

Integral inequality with several variable functions

Log integral inequality

Poincaré inequality 1D

Does square of an inequality holding in probability change the probability value?

If $u\in L^{\frac{3}{2}+\delta}(\mathbb{R}^3)\cap L^{\frac{3}{2}-\delta}(\mathbb{R}^3)$ show that $v=u\ast \frac{1}{|x|}\in L^\infty(\mathbb{R}^3)$

Proving the inquality $\int_{0}^{\infty} f^\lambda(t)d(t^\lambda) \le \left(\int_{0}^{\infty} f(t)dt\right)^\lambda$ for $\lambda\ge 1$

Clarification of an integral inequality used in proof of Chebyshev's inequality

Proof of finiteness of the following integral

Prove that $\int_{0}^{1} |p(x)| dx \leq \frac{\pi}{2} $

Estimate the integral $\frac{1}{2\pi i}\int\frac{-e^{-z}+1}{1+ze^{-z}-\pi}\,\mathrm{d}z$

Use Yang's inequality to prove $ab\leq e^{a-1}+b\ln b$

Prove $\int_0^{\pi/2} x\left({\sin nx\over \sin x}\right)^4\mathrm{d}x<{n^2\pi^2\over 8}$

Proof of Poincaré type inequality

$\left|\int_{0}^{2\pi}f(t)\sin nt\text{d}t\right|\leq\frac{4}{n^2}$

Does the inequality $\left(\int_0^1 f(t)dt\right)^2 \leq \int_0^1(f\circ f\circ f)(t)dt$ hold?

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