Question

A new type of convexity related to the exponential function

score 35 · Answer 1 · 2026-03-25 19:04:22

35

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A new type of convexity related to the exponential function

Published on 25 Mar 2026 - 19:04

score 85 · Answer 2 · 2026-03-25 23:36:29

85

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Proving the Increase of $(a+\delta)_m - (a)_m$ Given Decrease of $\frac{(a+\delta)_m}{(a)_m}$.

Published on 25 Mar 2026 - 23:36

score 51 · Answer 3 · 2026-03-25 10:57:07

51

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For a fixed positive definite $A$ anb vector $x$, is $B\mapsto x^T B^{1/2} A B^{1/2} x$ always concave?

Published on 25 Mar 2026 - 10:57

score 25.6k · Answer 4 · 2026-04-03 11:46:54

25.6k

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The minimum value of $ f(x) = | x - 1 | + | x - 2 | + | x - 3 | $ is?

Published on 03 Apr 2026 - 11:46

score 289 · Answer 5 · 2016-06-08 08:52:51

289

Views

Prove inequality $\frac a{1+bc}+\frac b{1+ac}+\frac c{1+ab}+abc\le \frac52$

Published on 08 Jun 2016 - 8:52

score 248 · Answer 6 · 2026-03-25 19:07:20

248

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What is maximum of $\frac{x^2+y^2+z^2}{xy+xz+yz}$ when $x, y, z \in [1, 2]$?

Published on 25 Mar 2026 - 19:07

score 132 · Answer 7 · 2026-03-25 22:05:34

132

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show this inequality $3^{\frac{n}{4}}\cdot (3^{\frac{1}{4}}-1)^{8-n}\le 1+n$

Published on 25 Mar 2026 - 22:05

score 68 · Answer 8 · 2026-03-25 19:00:56

68

Views

Convexity with conditional probabilities

Published on 25 Mar 2026 - 19:00

score 155 · Answer 9 · 2026-03-25 19:01:50

155

Views

Does strict quasiconvexity imply continuity?

Published on 25 Mar 2026 - 19:01

score 687 · Answer 10 · 2026-03-25 19:03:54

687

Views

Prove that the function f(x) = (x-3)^2 is convex on [1,5]

Published on 25 Mar 2026 - 19:03

score 127 · Answer 11 · 2026-03-25 19:07:10

127

Views

Show that $f$ is convex in $I$ such that $f(\frac{x+y}{2})<\frac{1}{2}(f(x)+f(y))$

Published on 25 Mar 2026 - 19:07

score 63 · Answer 12 · 2026-05-10 16:45:15

63

Views

When does the inequality hold?

Published on 10 May 2026 - 16:45

score 158 · Answer 13 · 2026-03-25 22:11:24

158

Views

Little result using RCF theorem and an inequality by Vasile Cirtoaje

Published on 25 Mar 2026 - 22:11

score 72 · Answer 14 · 2026-03-25 23:42:43

72

Views

Question about convexity: how do we prove that $\displaystyle \sum_{i=1}^{k}p_{i}b_{i}\geq\prod_{i=1}^{k}b^{p_{i}}_{i}$?

Published on 25 Mar 2026 - 23:42

score 175 · Answer 15 · 2026-03-25 20:33:41

175

Views

Show that Lambert's function is concave using mid-point concavity

Published on 25 Mar 2026 - 20:33

List Question

A new type of convexity related to the exponential function

Proving the Increase of $(a+\delta)_m - (a)_m$ Given Decrease of $\frac{(a+\delta)_m}{(a)_m}$.

For a fixed positive definite $A$ anb vector $x$, is $B\mapsto x^T B^{1/2} A B^{1/2} x$ always concave?

The minimum value of $ f(x) = | x - 1 | + | x - 2 | + | x - 3 | $ is?

Prove inequality $\frac a{1+bc}+\frac b{1+ac}+\frac c{1+ab}+abc\le \frac52$

What is maximum of $\frac{x^2+y^2+z^2}{xy+xz+yz}$ when $x, y, z \in [1, 2]$?

show this inequality $3^{\frac{n}{4}}\cdot (3^{\frac{1}{4}}-1)^{8-n}\le 1+n$

Convexity with conditional probabilities

Does strict quasiconvexity imply continuity?

Prove that the function f(x) = (x-3)^2 is convex on [1,5]

Show that $f$ is convex in $I$ such that $f(\frac{x+y}{2})<\frac{1}{2}(f(x)+f(y))$

When does the inequality hold?

Little result using RCF theorem and an inequality by Vasile Cirtoaje

Question about convexity: how do we prove that $\displaystyle \sum_{i=1}^{k}p_{i}b_{i}\geq\prod_{i=1}^{k}b^{p_{i}}_{i}$?

Show that Lambert's function is concave using mid-point concavity

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