List questions from convex-analysis

Published on 25 Mar 2026 - 17:24

102

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$f:U\rightarrow V$ a $C^2$ diffeo, $\forall\, a\in U, \exists r>0$ such that $f\left(B_{a}(\epsilon)\right)$ is convex $\forall\epsilon\leq r$

Published on 25 Mar 2026 - 14:08

46

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Is $(x_1,x_2) \mapsto \frac{x_1}{a-x_2}+b$ convex?

Published on 25 Mar 2026 - 23:16

98

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Is $S = \{ (x^T Q_1 x, x^T Q_2 x) \mid \|x\|_2 = 1 \}$ convex?

Published on 27 Mar 2026 - 0:59

114

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Bound $\int_1^{+\infty} \left(x-\lfloor x \rfloor -\frac{1}{2}\right)f(x)\,{\rm d}x$ for convex, decreasing $f$

Published on 28 Mar 2026 - 22:29

106

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How can I prove the function is convex?

Published on 09 Apr 2026 - 0:32

139

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Why is $x(1-F(x))$ a concave function when the function $F(x)$ is a monotone hazard rate distribution?

Published on 26 Mar 2026 - 22:53

2k

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Can you suggest some good optimization books?

Published on 12 Apr 2026 - 19:29

1.5k

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Subdifferential of $f = \max \{f_1(x), f_2(x) \}$

Published on 12 Apr 2026 - 10:44

168

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Which bivariate monomials are convex?

Published on 09 Apr 2026 - 17:13

246

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Unique solution in linear optimisation problem

Published on 27 Mar 2026 - 2:32

42

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Deep Learning Algorithm Global Minimum

Published on 11 Apr 2026 - 21:10

64

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Is this glued function convex?

Published on 11 Apr 2026 - 23:21

127

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Concativity of entropy without Jensen's inequality

Published on 25 Mar 2026 - 19:03

103

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Is this set always convex?

Published on 12 Apr 2026 - 15:17

List Question

Does signed midpoint-convexity imply signed convexity?

$f:U\rightarrow V$ a $C^2$ diffeo, $\forall\, a\in U, \exists r>0$ such that $f\left(B_{a}(\epsilon)\right)$ is convex $\forall\epsilon\leq r$

Is $(x_1,x_2) \mapsto \frac{x_1}{a-x_2}+b$ convex?

Is $S = \{ (x^T Q_1 x, x^T Q_2 x) \mid \|x\|_2 = 1 \}$ convex?

Bound $\int_1^{+\infty} \left(x-\lfloor x \rfloor -\frac{1}{2}\right)f(x)\,{\rm d}x$ for convex, decreasing $f$

How can I prove the function is convex?

Why is $x(1-F(x))$ a concave function when the function $F(x)$ is a monotone hazard rate distribution?

Can you suggest some good optimization books?

Subdifferential of $f = \max \{f_1(x), f_2(x) \}$

Which bivariate monomials are convex?

Unique solution in linear optimisation problem

Deep Learning Algorithm Global Minimum

Is this glued function convex?

Concativity of entropy without Jensen's inequality

Is this set always convex?

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