List questions from jensen-inequality

Published on 03 Jun 2020 - 14:41

388

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Prove that midpoint convex and bounded imply continuous

Published on 04 Jun 2020 - 2:33

92

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Two doubts on expectation inequalities

Published on 23 Feb 2026 - 2:44

161

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If $a$, $b$, $c \geq 1$; $y \geq x \geq 1$; $p$, $q$, $r > 0$ Prove the insane inequality

Published on 09 Jun 2020 - 6:36

101

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$\frac{3x+1}{x+1}+\frac{3y+1}{y+1}+\frac{3z+1}{z+1} \le \frac{9}{2}$

Published on 25 Mar 2026 - 6:06

273

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Jensen inequality in measure theory : why doesn't the convex function need to be nonnegative?

Published on 20 Jun 2020 - 17:38

641

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Generalization of Jensen's inequality

Published on 24 Jun 2020 - 15:01

103

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Prove the following inequality $\sum_{k=0}^{n}(-1)^{k}f(a_{k})\geq f ( \sum _ { k = 0 } ^ { n } ( - 1 ) ^ { k } a _ { k } )$

Published on 24 Jun 2020 - 16:35

182

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What Is Bigger $100^{100}$or $\sqrt{99^{99} \cdot 101^{101}}$

Published on 25 Mar 2026 - 6:03

271

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Does convexity at a single point imply convexity w.r.t finite convex combinations?

Published on 06 Jul 2020 - 9:03

137

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Derivation of the Convexity Relation for Multivariable Function

Published on 09 Jul 2020 - 13:37

178

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Jensen's inequality tells us variation of $x$ will increase the average value of $f(x)$?

Published on 25 Mar 2026 - 12:50

168

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Expected sum problem with application of Jensen Inequality

Published on 14 Jul 2020 - 17:36

183

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Prove inequality on expectation

Published on 17 Jul 2020 - 13:52

67

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If $a, b, c\in\mathbb R^+,$ then prove that: $\sum_{cyc} \frac1{c-b}\left(\frac1{\sqrt{a+2b}}-\frac1{\sqrt{a+2c}}\right)\ge\frac3{\sqrt{(a+b+c)^3}}.$

Published on 20 Jul 2020 - 14:48

List Question

Expected value of absolute value of centered random variable

Prove that midpoint convex and bounded imply continuous

Two doubts on expectation inequalities

If $a$, $b$, $c \geq 1$; $y \geq x \geq 1$; $p$, $q$, $r > 0$ Prove the insane inequality

$\frac{3x+1}{x+1}+\frac{3y+1}{y+1}+\frac{3z+1}{z+1} \le \frac{9}{2}$

Jensen inequality in measure theory : why doesn't the convex function need to be nonnegative?

Generalization of Jensen's inequality

Prove the following inequality $\sum_{k=0}^{n}(-1)^{k}f(a_{k})\geq f ( \sum _ { k = 0 } ^ { n } ( - 1 ) ^ { k } a _ { k } )$

What Is Bigger $100^{100}$or $\sqrt{99^{99} \cdot 101^{101}}$

Does convexity at a single point imply convexity w.r.t finite convex combinations?

Derivation of the Convexity Relation for Multivariable Function

Jensen's inequality tells us variation of $x$ will increase the average value of $f(x)$?

Expected sum problem with application of Jensen Inequality

Prove inequality on expectation

If $a, b, c\in\mathbb R^+,$ then prove that: $\sum_{cyc} \frac1{c-b}\left(\frac1{\sqrt{a+2b}}-\frac1{\sqrt{a+2c}}\right)\ge\frac3{\sqrt{(a+b+c)^3}}.$

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