List questions from jensen-inequality

Published on 29 Apr 2026 - 20:49

168

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Prove that $\left ( 1+\frac{n^{\frac{1}{n}}}{n} \right )^\frac{1}{n}+\left ( 1-\frac{n^{\frac{1}{n}}}{n} \right )^\frac{1}{n}<2$

Published on 27 Apr 2026 - 3:32

190

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Find maximum and minimum of : $\Omega=\sin x\sin y\sin z$

Published on 11 Apr 2026 - 16:12

451

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An inequality for polynomials with positives coefficients

Published on 12 Mar 2026 - 21:28

54

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On the gap of Jensen's inequality

Published on 04 May 2026 - 6:00

697

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An olympiad-like inequality

Published on 19 Apr 2026 - 20:46

266

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Expectations, Double Integrals and Jensen's Inequality

Published on 25 Mar 2026 - 12:50

60

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Show that $E(logY|X) > log X$ implies $E(Y|X) > X$ using Jensen's inequality

Published on 01 Apr 2026 - 5:47

43

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Inequality with variable expoent

Published on 10 May 2026 - 14:28

83

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Does $\mathbb{E}e^X=e^{\mathbb{E}X}$?

Published on 10 Apr 2026 - 18:26

89

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Characterizing convex functions by a Jensen-type inequality

Published on 25 Mar 2026 - 12:46

208

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Prove that $\sum \frac{x}{x^2+7}\le \frac{3}{8}$

Published on 10 May 2026 - 16:35

52

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Prove that the maximum of the following expression occurs when all $\dfrac{x_{i+1}}{x_i}$ are equal for $0\leq i< n.$

Published on 25 Mar 2026 - 12:51

97

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Prove that $\;\sum_{i=1}^n \frac{p_i}{p_{i+1}+p_{i+2}} \ge \frac{n}{2}$ using Jensen's inequality

Published on 25 Mar 2026 - 12:50

35

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Jensen midpoint inequality reference lost

Published on 25 Mar 2026 - 8:11

List Question

A property of Nesbitt's inequality

Prove that $\left ( 1+\frac{n^{\frac{1}{n}}}{n} \right )^\frac{1}{n}+\left ( 1-\frac{n^{\frac{1}{n}}}{n} \right )^\frac{1}{n}<2$

Find maximum and minimum of : $\Omega=\sin x\sin y\sin z$

An inequality for polynomials with positives coefficients

On the gap of Jensen's inequality

An olympiad-like inequality

Expectations, Double Integrals and Jensen's Inequality

Show that $E(logY|X) > log X$ implies $E(Y|X) > X$ using Jensen's inequality

Inequality with variable expoent

Does $\mathbb{E}e^X=e^{\mathbb{E}X}$?

Characterizing convex functions by a Jensen-type inequality

Prove that $\sum \frac{x}{x^2+7}\le \frac{3}{8}$

Prove that the maximum of the following expression occurs when all $\dfrac{x_{i+1}}{x_i}$ are equal for $0\leq i< n.$

Prove that $\;\sum_{i=1}^n \frac{p_i}{p_{i+1}+p_{i+2}} \ge \frac{n}{2}$ using Jensen's inequality

Jensen midpoint inequality reference lost

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