Question

Let $f: [a,b] \rightarrow R$ be convex. If f is not constant, then the supremum of $f$ is not inside of [a,b].

score 61 · Answer 1 · 2014-04-09 10:25:02

61

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Let $f: [a,b] \rightarrow R$ be convex. If f is not constant, then the supremum of $f$ is not inside of [a,b].

Published on 09 Apr 2014 - 10:25

score 49 · Answer 2 · 2026-04-01 20:30:48

49

Views

Why does convexity of a function required the following

Published on 01 Apr 2026 - 20:30

score 109 · Answer 3 · 2014-04-09 19:17:11

109

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Prove: $f: (a,b) \rightarrow \mathbb{R}$ is convex iff for every triple $x_1,x,x_2 \in (a,b)$...

Published on 09 Apr 2014 - 19:17

score 2.1k · Answer 4 · 2026-04-01 20:20:50

2.1k

Views

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Published on 01 Apr 2026 - 20:20

score 78 · Answer 5 · 2014-04-10 08:51:27

78

Views

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score 721 · Answer 6 · 2014-04-10 11:06:41

721

Views

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score 1.4k · Answer 7 · 2026-04-01 20:24:54

1.4k

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score 3.1k · Answer 8 · 2026-03-26 08:02:41

3.1k

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score 334 · Answer 9 · 2026-04-05 18:39:00

334

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score 3.4k · Answer 10 · 2026-03-25 09:50:01

3.4k

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score 634 · Answer 11 · 2014-04-11 16:02:40

634

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Published on 11 Apr 2014 - 16:02

score 121 · Answer 12 · 2026-03-27 06:13:20

121

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score 171 · Answer 13 · 2026-03-26 02:53:37

171

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score 704 · Answer 14 · 2026-03-27 03:41:02

704

Views

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Published on 27 Mar 2026 - 3:41

score 125 · Answer 15 · 2026-04-01 21:54:30

125

Views

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Published on 01 Apr 2026 - 21:54

List Question

Let $f: [a,b] \rightarrow R$ be convex. If f is not constant, then the supremum of $f$ is not inside of [a,b].

Why does convexity of a function required the following

Prove: $f: (a,b) \rightarrow \mathbb{R}$ is convex iff for every triple $x_1,x,x_2 \in (a,b)$...

Why is pointwise maximum a convex function?

Quickly checking if an inequality holds on a convex region

Relation between mean width and diameter

Min of concave symmetric function on a convex set

Isoperimetric inequality, isodiametric inequality, hyperplane conjecture... what are the inequalities of this kind known or conjectured?

A Question about Pointed Cones

Is convex hull of a finite set of points in $\mathbb R^2$ closed?

The Fundamental Theorem of Matrix Games, and the "indifference" method of solving games

Motivating convex sets.

On the convexity of a particular form of integrals

How to use Markov-Kakutani fixed point theorem to show that abelian groups are amenable?

Define a compact and convex set through inequality constraints

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