Question

Approximating a Convex Piecewise Linear Function by Convex Polynomial

score 387 · Answer 1 · 2026-03-24 23:51:09

387

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Approximating a Convex Piecewise Linear Function by Convex Polynomial

Published on 24 Mar 2026 - 23:51

score 63 · Answer 2 · 2026-03-27 14:59:03

63

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A general solution to $\min_{v\in L^2(0,1)} \|v-w\|^2_{L(0,1)}$ s.t. $v(x) \geq 0 $ almost everywhere

Published on 27 Mar 2026 - 14:59

score 38 · Answer 3 · 2026-03-27 15:05:37

38

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Is $\left\{a \in \mathbb R^K \: | \: f(0)=1, \: \lvert f(x)\rvert \leq 1 \text{ for } \alpha \leq x \leq \beta\right\}$ convex?

Published on 27 Mar 2026 - 15:05

score 231 · Answer 4 · 2026-03-25 03:02:32

231

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What is the name of this theorem? convex set

Published on 25 Mar 2026 - 3:02

score 178 · Answer 5 · 2018-07-10 14:37:05

178

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Continuity + strict convexity on interior implies strict convexity everywhere?

Published on 10 Jul 2018 - 14:37

score 432 · Answer 6 · 2026-03-25 12:46:34

432

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Positive definite in the limit

Published on 25 Mar 2026 - 12:46

score 836 · Answer 7 · 2018-07-10 20:32:26

836

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Are closed convex functions continuous?

Published on 10 Jul 2018 - 20:32

score 726 · Answer 8 · 2026-03-26 22:17:55

726

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Boyd & Vandenberghe, exercise 2.15 — on $\mbox{quart}$

Published on 26 Mar 2026 - 22:17

score 489 · Answer 9 · 2026-03-23 10:46:11

489

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Dual of the relative entropy cone

Published on 23 Mar 2026 - 10:46

score 55 · Answer 10 · 2018-07-12 16:49:04

If a function is convex on some interval $[a, c)$ and on some interval $(c, b]$, under what circumstances is it convex on $[a,b]$?

score 378 · Answer 11 · 2026-03-27 16:25:26

378

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Conjugate function of squared $\ell_2$-norm in terms of Euclidean projection?

Published on 27 Mar 2026 - 16:25

score 226 · Answer 12 · 2026-03-24 23:57:44

226

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An illustration of convex integration theory: uniform approximation by a function with restricted values of the derivative

Published on 24 Mar 2026 - 23:57

score 504 · Answer 13 · 2026-03-25 11:16:08

504

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Why recession cone of a set $C$ is indeed a cone?

Published on 25 Mar 2026 - 11:16

score 171 · Answer 14 · 2026-03-26 19:39:38

171

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if number of extreme points of $B_X$ is finite, then $X$ is of finite dimensional?

Published on 26 Mar 2026 - 19:39

score 214 · Answer 15 · 2026-03-25 01:38:27

214

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Can we always find a convex combination of a given set of points to satisfy this condition?

Published on 25 Mar 2026 - 1:38

List Question

Approximating a Convex Piecewise Linear Function by Convex Polynomial

A general solution to $\min_{v\in L^2(0,1)} \|v-w\|^2_{L(0,1)}$ s.t. $v(x) \geq 0 $ almost everywhere

Is $\left\{a \in \mathbb R^K \: | \: f(0)=1, \: \lvert f(x)\rvert \leq 1 \text{ for } \alpha \leq x \leq \beta\right\}$ convex?

What is the name of this theorem? convex set

Continuity + strict convexity on interior implies strict convexity everywhere?

Positive definite in the limit

Are closed convex functions continuous?

Boyd & Vandenberghe, exercise 2.15 — on $\mbox{quart}$

Dual of the relative entropy cone

If a function is convex on some interval $[a, c)$ and on some interval $(c, b]$, under what circumstances is it convex on $[a,b]$?

Conjugate function of squared $\ell_2$-norm in terms of Euclidean projection?

An illustration of convex integration theory: uniform approximation by a function with restricted values of the derivative

Why recession cone of a set $C$ is indeed a cone?

if number of extreme points of $B_X$ is finite, then $X$ is of finite dimensional?

Can we always find a convex combination of a given set of points to satisfy this condition?

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