List questions from jensen-inequality

Published on 11 Apr 2026 - 7:59

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find maximum and minimum of : $\tan (a)\tan (b)\tan (c)$

Published on 10 May 2026 - 15:24

113

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Convexity of CDF and sum of conditional expectations

Published on 11 Apr 2026 - 3:36

146

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Solve inequality

Published on 10 May 2026 - 16:07

84

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Proving that $\frac{n_1a_1+\dots+n_ka_k}{n_1+\dots+n_k}\geq(a_1^{n_1}\dots a_k^{n_k})^{\frac{1}{n_1+\dots+n_k}}$

Published on 17 Apr 2026 - 1:25

194

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How can I prove that $\frac{n^2}{x_1+x_2+\dots+x_n} \le \frac{1}{x_1}+ \frac{1}{x_2} +\dots+ \frac{1}{x_n}$?

Published on 10 May 2026 - 15:26

53

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Maximum value of $\prod_{r=1}^n\cos a_r$ if $0\le a_1,\ldots,a_n\le\frac{\pi}{2}$ and $\prod_{r=1}^n\cot a_r = 1$

Published on 12 Apr 2026 - 16:21

124

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Jensen's Inequality for the Difference of Conditional Expectations

Published on 16 Apr 2026 - 13:26

72

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Prove that for $1\leq p\leq 2$ and $0<b<a$, $(a+b)^p+(a-b)^p\geq 2a^p+p(p-1)a^{p-2}b^2$.

Published on 17 Apr 2026 - 9:48

195

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Inequality $\frac{\ln(7a+b)}{7a+b}+\frac{\ln(7b+c)}{7b+c}+\frac{\ln(7c+a)}{7c+a}\leq \frac{3\ln(8\sqrt{3})}{8\sqrt{3}}$

Published on 10 May 2026 - 15:30

140

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Calculating determinant of integral of matrices

Published on 10 Apr 2026 - 22:06

1.3k

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Jensen's inequality over definite positive matrices.

Published on 11 Apr 2026 - 21:48

295

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Proof of Theorem 9.10 in Rudin's Real & Complex Analysis

Published on 10 Apr 2026 - 5:27

383

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tangent inequality in triangle

Published on 12 Apr 2026 - 6:27

99

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Prove the following refinement of AM-GM inequality

Published on 14 Apr 2026 - 4:44

List Question

Counter-example wanted on a new formula for convex function

find maximum and minimum of : $\tan (a)\tan (b)\tan (c)$

Convexity of CDF and sum of conditional expectations

Solve inequality

Proving that $\frac{n_1a_1+\dots+n_ka_k}{n_1+\dots+n_k}\geq(a_1^{n_1}\dots a_k^{n_k})^{\frac{1}{n_1+\dots+n_k}}$

How can I prove that $\frac{n^2}{x_1+x_2+\dots+x_n} \le \frac{1}{x_1}+ \frac{1}{x_2} +\dots+ \frac{1}{x_n}$?

Maximum value of $\prod_{r=1}^n\cos a_r$ if $0\le a_1,\ldots,a_n\le\frac{\pi}{2}$ and $\prod_{r=1}^n\cot a_r = 1$

Jensen's Inequality for the Difference of Conditional Expectations

Prove that for $1\leq p\leq 2$ and $0<b<a$, $(a+b)^p+(a-b)^p\geq 2a^p+p(p-1)a^{p-2}b^2$.

Inequality $\frac{\ln(7a+b)}{7a+b}+\frac{\ln(7b+c)}{7b+c}+\frac{\ln(7c+a)}{7c+a}\leq \frac{3\ln(8\sqrt{3})}{8\sqrt{3}}$

Calculating determinant of integral of matrices

Jensen's inequality over definite positive matrices.

Proof of Theorem 9.10 in Rudin's Real & Complex Analysis

tangent inequality in triangle

Prove the following refinement of AM-GM inequality

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