Question

Integral Inequality for function in $W^l_2$ space

score 211 · Answer 1 · 2017-10-10 07:12:24

211

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Integral Inequality for function in $W^l_2$ space

Published on 10 Oct 2017 - 7:12

score 128 · Answer 2 · 2017-10-15 18:47:00

128

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Juggling with the gradient inside an integral

Published on 15 Oct 2017 - 18:47

score 1.3k · Answer 3 · 2017-10-17 03:43:18

1.3k

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Solving Poisson Equation Proof in Lawrence C. Evans Theorem 1 page 23

Published on 17 Oct 2017 - 3:43

score 29 · Answer 4 · 2017-10-25 02:03:23

29

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Possible Typo in the inequality $(m_1+m_2)(b-a)(c-d) \leq \int_a^b \int_c^d [f(x)+g(y)] \, dy \, dx \leq (M_1 + M_2)(b-a)(c-d)$

Published on 25 Oct 2017 - 2:03

score 88 · Answer 5 · 2017-10-26 20:25:26

88

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Is there a bound for L_1 distance involving the integral probability metric?

Published on 26 Oct 2017 - 20:25

score 66 · Answer 6 · 2026-03-29 15:53:01

66

Views

Integral Inequality in Regularity Problems (PDE)

Published on 29 Mar 2026 - 15:53

score 99 · Answer 7 · 2017-11-06 15:53:26

99

Views

Proving $\int_{(1,\infty)} f(s) \, ds < \infty$ by proving the divergence of a certain integral

Published on 06 Nov 2017 - 15:53

score 8.3k · Answer 8 · 2017-11-09 04:14:52

8.3k

Views

Lyapunov's inequality in Probability

Published on 09 Nov 2017 - 4:14

score 113 · Answer 9 · 2017-11-10 20:50:12

113

Views

Showing $\int_{0}^{1}\frac{\log(1+x+x^{2}+\cdots+x^{2^{k}-1})}{x}\,dx <2-\frac{1}{2^{k-1}}$

Published on 10 Nov 2017 - 20:50

score 827 · Answer 10 · 2026-03-27 05:39:26

827

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An elementary proof of Sobolev's Inequality in one dimension

Published on 27 Mar 2026 - 5:39

score 181 · Answer 11 · 2017-11-25 18:31:01

181

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How do I show the following integral inequality?

Published on 25 Nov 2017 - 18:31

score 40 · Answer 12 · 2017-11-27 10:57:58

40

Views

Prove $\int_{R^{+}} \frac{1}{1+x} a(x) dx > 0$ given $\int_{R^{+}} \frac{1}{x} a(x) dx > 0$ and $\int_{R^{+}} a(x) dx = 0$?

Published on 27 Nov 2017 - 10:57

score 661 · Answer 13 · 2017-11-27 12:33:53

661

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Find min of $\int_{-1}^1| x^3-a-bx-cx^2|^2 dx$ and max of $\int_{-1}^1 x^3 g(x) dx$

Published on 27 Nov 2017 - 12:33

score 1k · Answer 14 · 2017-11-27 18:36:58

1k

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Prove that:$f(f(x)) = x^2 \implies \int_{0}^{1}{(f(x))^2dx} \geq \frac{3}{13}$

Published on 27 Nov 2017 - 18:36

score 515 · Answer 15 · 2017-11-29 06:32:36

515

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How to prove this integral inequality $ \int_0^{2\pi} p(x)[p(x)+p''(x)] dx \int_0^{2\pi}\frac{1}{p(x)+p''(x)} dx\geq 2\pi \int _0^{2\pi} p(x) dx $?

Published on 29 Nov 2017 - 6:32

List Question

Integral Inequality for function in $W^l_2$ space

Juggling with the gradient inside an integral

Solving Poisson Equation Proof in Lawrence C. Evans Theorem 1 page 23

Possible Typo in the inequality $(m_1+m_2)(b-a)(c-d) \leq \int_a^b \int_c^d [f(x)+g(y)] \, dy \, dx \leq (M_1 + M_2)(b-a)(c-d)$

Is there a bound for L_1 distance involving the integral probability metric?

Integral Inequality in Regularity Problems (PDE)

Proving $\int_{(1,\infty)} f(s) \, ds < \infty$ by proving the divergence of a certain integral

Lyapunov's inequality in Probability

Showing $\int_{0}^{1}\frac{\log(1+x+x^{2}+\cdots+x^{2^{k}-1})}{x}\,dx <2-\frac{1}{2^{k-1}}$

An elementary proof of Sobolev's Inequality in one dimension

How do I show the following integral inequality?

Prove $\int_{R^{+}} \frac{1}{1+x} a(x) dx > 0$ given $\int_{R^{+}} \frac{1}{x} a(x) dx > 0$ and $\int_{R^{+}} a(x) dx = 0$?

Find min of $\int_{-1}^1| x^3-a-bx-cx^2|^2 dx$ and max of $\int_{-1}^1 x^3 g(x) dx$

Prove that:$f(f(x)) = x^2 \implies \int_{0}^{1}{(f(x))^2dx} \geq \frac{3}{13}$

How to prove this integral inequality $ \int_0^{2\pi} p(x)[p(x)+p''(x)] dx \int_0^{2\pi}\frac{1}{p(x)+p''(x)} dx\geq 2\pi \int _0^{2\pi} p(x) dx $?

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