List questions from convex-analysis

Published on 08 Apr 2026 - 3:09

285

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Is concavity preserved or not under increasing transformaton

Published on 09 Apr 2026 - 4:17

140

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Inequality involving an increasing convex function

Published on 06 May 2026 - 11:56

38

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A function to be concave

Published on 13 Apr 2026 - 12:46

103

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To be concave on $[0,1]$, $f(t)\leq f(0)+tf'(0)$ is enough?

Published on 27 Mar 2026 - 1:53

248

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$f(t)=(\text{det}(A+tB))^{\frac{1}{d}}$ is concave if $f(t)\leq f(0)+tf'(0)$?

Published on 15 Apr 2026 - 17:55

174

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Large Deviation Principle

Published on 10 May 2026 - 14:45

65

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Convex subset with positive measure.

Published on 12 Apr 2026 - 12:09

214

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$f$ convex $\iff$ $f(y)\ge f(x)+\nabla f(x)(x-y)$

Published on 17 Apr 2026 - 13:50

1.6k

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Stable strict local minimum implies local convexity

Published on 11 May 2026 - 6:28

29

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$f\in C^1$ convex, if exists $x^\in S$ such that $\nabla^t f(x^)(y-x^)\ge 0$ then $x^$ is a global minimizer of $f$

Published on 14 Apr 2026 - 16:55

1.2k

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Proving $\max\{f,g\}$, $\sum x_i^2$ and $e^{f(x)}$ are convex functions

Published on 16 Apr 2026 - 14:43

415

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Boundedness of sublevelsets of strongly convex functions implies boundedness of second-order gradient

Published on 11 May 2026 - 2:15

679

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Jensen's inequality for integral without l.s.c. assumption

Published on 15 Apr 2026 - 4:44

49

Views

Is the sum of square distance of three surfaces convex?

Published on 11 Apr 2026 - 23:17

List Question

Does the domain of integration have to be convex?

Is concavity preserved or not under increasing transformaton

Inequality involving an increasing convex function

A function to be concave

To be concave on $[0,1]$, $f(t)\leq f(0)+tf'(0)$ is enough?

$f(t)=(\text{det}(A+tB))^{\frac{1}{d}}$ is concave if $f(t)\leq f(0)+tf'(0)$?

Large Deviation Principle

Convex subset with positive measure.

$f$ convex $\iff$ $f(y)\ge f(x)+\nabla f(x)(x-y)$

Stable strict local minimum implies local convexity

$f\in C^1$ convex, if exists $x^\in S$ such that $\nabla^t f(x^)(y-x^)\ge 0$ then $x^$ is a global minimizer of $f$

Proving $\max\{f,g\}$, $\sum x_i^2$ and $e^{f(x)}$ are convex functions

Boundedness of sublevelsets of strongly convex functions implies boundedness of second-order gradient

Jensen's inequality for integral without l.s.c. assumption

Is the sum of square distance of three surfaces convex?

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