List questions from convex-analysis

Published on 13 Apr 2026 - 11:14

155

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$C([0,1])$ strictly convex

Published on 14 Apr 2026 - 22:32

261

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$L^p([0,1])$ stricly convex

Published on 15 Apr 2026 - 6:42

547

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Positive definite matrix _subset_Convex set or not?

Published on 14 Apr 2026 - 13:25

6.4k

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Why is the Euclidian norm convex, if the square root function is concave?

Published on 16 Apr 2026 - 20:19

328

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Geometrical interpretation of Pseudoconvexity?

Published on 13 Apr 2026 - 10:00

107

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Proof Verification: C closed, convex, symmetric in Banach space X and $\cup_{n \in N \setminus 0} n.C= X$ then $B_\epsilon(0) \in C $.

Published on 13 Apr 2026 - 21:27

69

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Form of Jensen's Inequality for Two Convex Functions

Published on 16 Apr 2026 - 14:44

1.3k

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How can we define convexity in one dimension?

Published on 12 Apr 2026 - 19:49

278

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Is the CMF of a log-concave PMF also log-concave?

Published on 14 Apr 2026 - 17:25

16.9k

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Geometric intuition of conjugate function

Published on 13 Apr 2026 - 7:26

102

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Preservation of inequality with difference of concave functions

Published on 13 Apr 2026 - 2:00

2.8k

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Orthogonal Projection of a Matrix onto the Set of Symmetric Matrices

Published on 15 Apr 2026 - 10:58

61

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Hint to prove that $-\frac{1}{x^2}+\frac{1}{\sin^2(x)}$ is a convex function in the interval $[0 ,\pi/2]$

Published on 16 Apr 2026 - 3:08

214

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Do nested convex bodies have increasing "Volume/Surface Area" ratios?

Published on 13 Apr 2026 - 12:46

List Question

Why is this matrix symmetric?

$C([0,1])$ strictly convex

$L^p([0,1])$ stricly convex

Positive definite matrix _subset_Convex set or not?

Why is the Euclidian norm convex, if the square root function is concave?

Geometrical interpretation of Pseudoconvexity?

Proof Verification: C closed, convex, symmetric in Banach space X and $\cup_{n \in N \setminus 0} n.C= X$ then $B_\epsilon(0) \in C $.

Form of Jensen's Inequality for Two Convex Functions

How can we define convexity in one dimension?

Is the CMF of a log-concave PMF also log-concave?

Geometric intuition of conjugate function

Preservation of inequality with difference of concave functions

Orthogonal Projection of a Matrix onto the Set of Symmetric Matrices

Hint to prove that $-\frac{1}{x^2}+\frac{1}{\sin^2(x)}$ is a convex function in the interval $[0 ,\pi/2]$

Do nested convex bodies have increasing "Volume/Surface Area" ratios?

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