Question

How to prove positive semi-definiteness or integral inequality

score 102 · Answer 1 · 2026-03-19 21:16:24

102

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How to prove positive semi-definiteness or integral inequality

Published on 19 Mar 2026 - 21:16

score 125 · Answer 2 · 2018-08-15 21:15:22

125

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Proving $f \in L^{2}[0, 1] = 0$ a.e. if integral of $x^{n}f(x)$ is 0 for each n

Published on 15 Aug 2018 - 21:15

score 168 · Answer 3 · 2026-03-24 23:51:37

168

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Let $f\colon\Bbb{R}^2\to \Bbb{R}$ such that $|f(x)-f(y)|\leq \Vert x-y\Vert^2.$ Prove that $f$ is a constant

Published on 24 Mar 2026 - 23:51

score 51 · Answer 4 · 2018-08-19 02:29:27

51

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No closest point to the subspace in $L_1([0,1])$

Published on 19 Aug 2018 - 2:29

score 56 · Answer 5 · 2018-08-21 01:16:58

56

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Let F be an absolutely continuous function on [0,1] and $F’\in L^p([0,1])$

Published on 21 Aug 2018 - 1:16

score 139 · Answer 6 · 2018-08-28 23:13:29

139

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Calculating Holder's Inequality for Sums with Exponents

Published on 28 Aug 2018 - 23:13

score 345 · Answer 7 · 2018-09-09 15:38:03

345

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Prove the inequality using Chebyshev's Inequality

Published on 09 Sep 2018 - 15:38

score 182 · Answer 8 · 2018-09-18 23:24:50

182

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Prove the inequality $\sqrt{\frac{a^2+1}{b+c}}+\sqrt{\frac{b^2+1}{a+c}}+\sqrt{\frac{c^2+1}{a+b}}\ge 3$

Published on 18 Sep 2018 - 23:24

score 344 · Answer 9 · 2018-09-25 20:31:48

344

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For $a\geq2$, $b\geq2$ and $c\geq2$, prove that $\left(a^3+b\right)\left(b^3+c\right)\left(c^3+a\right)\geq125 abc$

Published on 25 Sep 2018 - 20:31

score 74 · Answer 10 · 2018-10-07 20:17:56

74

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problem regarding application of Jensen's inequality

Published on 07 Oct 2018 - 20:17

score 5.5k · Answer 11 · 2018-10-08 03:36:15

5.5k

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Reverse Holder Inequality $\|fg\|_1\geq\| f\|_{\frac{1}{p}}\|g\|_{-\frac{1}{p-1}}$

Published on 08 Oct 2018 - 3:36

score 127 · Answer 12 · 2018-10-16 09:30:45

127

Views

Prove that if $x_1 + x_2 + ... + x_n = n$, then $x_1^k + x_2^k + ... + x_n^k \ge n$

Published on 16 Oct 2018 - 9:30

score 351 · Answer 13 · 2018-10-20 09:07:25

351

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A proof of Hölder's inequality and trying to understand this

Published on 20 Oct 2018 - 9:07

score 44 · Answer 14 · 2018-10-22 21:03:31

44

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How can I solve this inequality using convexity?

Published on 22 Oct 2018 - 21:03

score 1.6k · Answer 15 · 2018-10-27 04:16:07

1.6k

Views

Holder inequality is equality for $p =1$ and $q=\infty$

Published on 27 Oct 2018 - 4:16

List Question

How to prove positive semi-definiteness or integral inequality

Proving $f \in L^{2}[0, 1] = 0$ a.e. if integral of $x^{n}f(x)$ is 0 for each n

Let $f\colon\Bbb{R}^2\to \Bbb{R}$ such that $|f(x)-f(y)|\leq \Vert x-y\Vert^2.$ Prove that $f$ is a constant

No closest point to the subspace in $L_1([0,1])$

Let F be an absolutely continuous function on [0,1] and $F’\in L^p([0,1])$

Calculating Holder's Inequality for Sums with Exponents

Prove the inequality using Chebyshev's Inequality

Prove the inequality $\sqrt{\frac{a^2+1}{b+c}}+\sqrt{\frac{b^2+1}{a+c}}+\sqrt{\frac{c^2+1}{a+b}}\ge 3$

For $a\geq2$, $b\geq2$ and $c\geq2$, prove that $\left(a^3+b\right)\left(b^3+c\right)\left(c^3+a\right)\geq125 abc$

problem regarding application of Jensen's inequality

Reverse Holder Inequality $\|fg\|_1\geq\| f\|_{\frac{1}{p}}\|g\|_{-\frac{1}{p-1}}$

Prove that if $x_1 + x_2 + ... + x_n = n$, then $x_1^k + x_2^k + ... + x_n^k \ge n$

A proof of Hölder's inequality and trying to understand this

How can I solve this inequality using convexity?

Holder inequality is equality for $p =1$ and $q=\infty$

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