Question

What is majorization, and how is it related to Muirhead's inequalities?

score 1.4k · Answer 1 · 2013-09-10 01:04:50

1.4k

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What is majorization, and how is it related to Muirhead's inequalities?

Published on 10 Sep 2013 - 1:04

score 1.3k · Answer 2 · 2011-04-15 03:07:17

1.3k

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Majorization relation between the absolute values squared of the entries of a matrix and the singular values squared

Published on 15 Apr 2011 - 3:07

score 50 · Answer 3 · 2020-08-27 03:12:08

50

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Inequality between linear combinations of rank-one matrices?

Published on 27 Aug 2020 - 3:12

score 77 · Answer 4 · 2020-10-13 11:37:20

77

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Prove : $\sqrt{\frac{a^2+b^2+1}{a^2+c^2+1}}+\sqrt{\frac{a^2+c^2+1}{b^2+c^2+1}}+\sqrt{\frac{b^2+c^2+1}{a^2+b^2+1}}\geq 3$ with $a+b+c=1$

Published on 13 Oct 2020 - 11:37

score 73 · Answer 5 · 2020-11-13 13:21:33

73

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Prove that :$f(a^2)+f(b^2)+f(c^2)\leq f\left(\frac{1}{4}\right)+f\left(\frac{1}{4}\right)+f(0)$ where $f(x)=\sqrt{\frac{1+\sqrt{1+x}}{x^x}}$

Published on 13 Nov 2020 - 13:21

score 167 · Answer 6 · 2020-12-21 09:49:50

167

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Solutions of $2^{1978}(1+2^{4a-2030})=y(y+1)$

Published on 21 Dec 2020 - 9:49

score 161 · Answer 7 · 2021-01-06 00:30:44

161

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Does symmetry and monotonicity in each argument of a function guarantees Schur Convexity?

Published on 06 Jan 2021 - 0:30

score 66 · Answer 8 · 2021-03-10 18:01:44

66

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Norm majorization

Published on 10 Mar 2021 - 18:01

score 94 · Answer 9 · 2021-04-20 10:36:59

94

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Prove that equality between sums over one common factor and a distinct one entails equality of the distinct factors

Published on 20 Apr 2021 - 10:36

score 53 · Answer 10 · 2021-05-10 14:09:47

53

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Show that $f$ is integrable on $[0,+\infty[$

Published on 10 May 2021 - 14:09

score 122 · Answer 11 · 2021-08-06 18:43:57

122

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$\sqrt{a+b-c}+\sqrt{b+c-a}+\sqrt{c+a-b}\leq \sqrt a+\sqrt b+ \sqrt c.$

Published on 06 Aug 2021 - 18:43

score 73 · Answer 12 · 2021-08-08 01:38:30

73

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Find Linear Map between Majorized Vectors

Published on 08 Aug 2021 - 1:38

score 85 · Answer 13 · 2021-08-25 16:16:01

85

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Muirhead inequality doesn't require majorisation condition?

Published on 25 Aug 2021 - 16:16

score 82 · Answer 14 · 2021-10-17 17:32:17

82

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A sufficient condition for weak majorization from below

Published on 17 Oct 2021 - 17:32

score 206 · Answer 15 · 2022-01-31 12:16:33

206

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Proof for a multi-index inequality?

Published on 31 Jan 2022 - 12:16

List Question

What is majorization, and how is it related to Muirhead's inequalities?

Majorization relation between the absolute values squared of the entries of a matrix and the singular values squared

Inequality between linear combinations of rank-one matrices?

Prove : $\sqrt{\frac{a^2+b^2+1}{a^2+c^2+1}}+\sqrt{\frac{a^2+c^2+1}{b^2+c^2+1}}+\sqrt{\frac{b^2+c^2+1}{a^2+b^2+1}}\geq 3$ with $a+b+c=1$

Prove that :$f(a^2)+f(b^2)+f(c^2)\leq f\left(\frac{1}{4}\right)+f\left(\frac{1}{4}\right)+f(0)$ where $f(x)=\sqrt{\frac{1+\sqrt{1+x}}{x^x}}$

Solutions of $2^{1978}(1+2^{4a-2030})=y(y+1)$

Does symmetry and monotonicity in each argument of a function guarantees Schur Convexity?

Norm majorization

Prove that equality between sums over one common factor and a distinct one entails equality of the distinct factors

Show that $f$ is integrable on $[0,+\infty[$

$\sqrt{a+b-c}+\sqrt{b+c-a}+\sqrt{c+a-b}\leq \sqrt a+\sqrt b+ \sqrt c.$

Find Linear Map between Majorized Vectors

Muirhead inequality doesn't require majorisation condition?

A sufficient condition for weak majorization from below

Proof for a multi-index inequality?

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