Question

Show $\inf_{t> 0} f(tx)/x$ is well-defined.

score 58 · Answer 1 · 2026-04-12 16:18:34

58

Views

Show $\inf_{t> 0} f(tx)/x$ is well-defined.

Published on 12 Apr 2026 - 16:18

score 987 · Answer 2 · 2026-04-06 02:52:15

987

Views

On a reference request for the proof that strong convexity and lipschitz continous gradient of a twice differentiable function imply bounded Hessian.

Published on 06 Apr 2026 - 2:52

score 615 · Answer 3 · 2026-04-11 21:59:25

615

Views

Does the derivative of the Legendre transform satisfy $f^{*\prime}(x)=(f')^{-1}(x)$?

Published on 11 Apr 2026 - 21:59

score 515 · Answer 4 · 2026-03-27 02:37:32

515

Views

Need help verify my constructive proof for "A set is convex if and only if its intersection with any line is convex."

Published on 27 Mar 2026 - 2:37

score 195 · Answer 5 · 2026-03-25 19:04:17

195

Views

Convexity of Maximal Eigenvalue of Nonsymmetric Tridiagonal Matrix

Published on 25 Mar 2026 - 19:04

score 714 · Answer 6 · 2026-04-11 08:57:31

714

Views

Midpoint convex bounded function is continuous

Published on 11 Apr 2026 - 8:57

score 205 · Answer 7 · 2026-04-12 22:00:34

205

Views

On "creating" a Lipschitz continuous derivative from a strictly convex function.

Published on 12 Apr 2026 - 22:00

score 61 · Answer 8 · 2026-04-06 04:20:53

61

Views

How $f^*(y) := \sup_x \left\{ \langle y, x \rangle - f(x) \right\} \stackrel{\equiv}{?} -\inf_x \left\{ f(x) - \langle y, x \rangle \right\}$

Published on 06 Apr 2026 - 4:20

score 703 · Answer 9 · 2026-04-13 14:12:28

703

Views

Maximum of concave function over probability simplex

Published on 13 Apr 2026 - 14:12

score 79 · Answer 10 · 2026-03-26 17:36:53

79

Views

Show that this function is convex given that Q is positive semi-definite

Published on 26 Mar 2026 - 17:36

score 44 · Answer 11 · 2026-04-10 17:25:28

44

Views

Convex locally constant function is constant.

Published on 10 Apr 2026 - 17:25

score 322 · Answer 12 · 2026-04-09 07:15:18

322

Views

Understanding step in derivation of convex conjugate

Published on 09 Apr 2026 - 7:15

score 697 · Answer 13 · 2026-04-13 07:05:18

697

Views

Subgradient of a strictly convex function

Published on 13 Apr 2026 - 7:05

score 26 · Answer 14 · 2026-04-10 19:02:42

26

Views

Proof that the projection of a convex body is a convex?

Published on 10 Apr 2026 - 19:02

score 89 · Answer 15 · 2026-04-13 09:53:48

89

Views

$ cl(A+B)\subset cl(A)+cl(B) $

Published on 13 Apr 2026 - 9:53

List Question

Show $\inf_{t> 0} f(tx)/x$ is well-defined.

On a reference request for the proof that strong convexity and lipschitz continous gradient of a twice differentiable function imply bounded Hessian.

Does the derivative of the Legendre transform satisfy $f^{*\prime}(x)=(f')^{-1}(x)$?

Need help verify my constructive proof for "A set is convex if and only if its intersection with any line is convex."

Convexity of Maximal Eigenvalue of Nonsymmetric Tridiagonal Matrix

Midpoint convex bounded function is continuous

On "creating" a Lipschitz continuous derivative from a strictly convex function.

How $f^*(y) := \sup_x \left\{ \langle y, x \rangle - f(x) \right\} \stackrel{\equiv}{?} -\inf_x \left\{ f(x) - \langle y, x \rangle \right\}$

Maximum of concave function over probability simplex

Show that this function is convex given that Q is positive semi-definite

Convex locally constant function is constant.

Understanding step in derivation of convex conjugate

Subgradient of a strictly convex function

Proof that the projection of a convex body is a convex?

$ cl(A+B)\subset cl(A)+cl(B) $

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