List questions from convex-analysis

Published on 02 Apr 2026 - 19:21

351

Views

Under which conditions is the expected value of a function a (strictly-quasi) convex function?

Published on 11 Apr 2026 - 5:48

150

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$\nabla f(x^)^T(x-x^)\ge0 \quad \forall x$ implies global minimum at $x^*$ for a convex function on a convex set.

Published on 04 Apr 2026 - 17:15

401

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Equivalence of definitions of concave functions

Published on 08 Apr 2026 - 22:51

30

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Convexity of $h=g+\eta\sqrt{f-g^2}$

Published on 04 Apr 2026 - 17:15

50

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How can I show that the output of a convex program is continuous in its inputs?

Published on 09 Apr 2026 - 9:35

31

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What is the importance of : $I$ is a quasi-convex functional which is lower semi-continuous and $B$ is convex, closed in measure?

Published on 12 Apr 2026 - 8:40

103

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For quasi-convex functions, is $f (y)\leq\max(f(x_1),\ldots,f(x_n)) $ when $y = \frac{1}{n}\sum x_i$?

Published on 17 Feb 2020 - 13:49

207

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Does $f(x)>xf'(x)$ for all $x$ imply that $f$ is concave?

Published on 18 Feb 2020 - 22:59

15

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Convexity/Concavity of this function

Published on 05 Mar 2026 - 23:50

101

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A linear function involving the global optimum of the Rayleigh quotient

Published on 04 Apr 2026 - 20:41

263

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Are Minkowski functionals (a.k.a. gauges) strictly convex?

Published on 11 Apr 2026 - 21:36

41

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Proving convexity of constraint having squared Euclidean norm

Published on 11 Apr 2026 - 21:32

327

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Prove an inequality by using the integral test or another way

Published on 11 Apr 2026 - 1:06

122

Views

is a positive ray is a convex cone?

Published on 25 Mar 2026 - 6:27

List Question

Is the Frobenius norm defining a Trust-Region for a matrix?

Under which conditions is the expected value of a function a (strictly-quasi) convex function?

$\nabla f(x^)^T(x-x^)\ge0 \quad \forall x$ implies global minimum at $x^*$ for a convex function on a convex set.

Equivalence of definitions of concave functions

Convexity of $h=g+\eta\sqrt{f-g^2}$

How can I show that the output of a convex program is continuous in its inputs?

What is the importance of : $I$ is a quasi-convex functional which is lower semi-continuous and $B$ is convex, closed in measure?

For quasi-convex functions, is $f (y)\leq\max(f(x_1),\ldots,f(x_n)) $ when $y = \frac{1}{n}\sum x_i$?

Does $f(x)>xf'(x)$ for all $x$ imply that $f$ is concave?

Convexity/Concavity of this function

A linear function involving the global optimum of the Rayleigh quotient

Are Minkowski functionals (a.k.a. gauges) strictly convex?

Proving convexity of constraint having squared Euclidean norm

Prove an inequality by using the integral test or another way

is a positive ray is a convex cone?

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