List questions from jensen-inequality

Published on 11 Apr 2026 - 16:24

132

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Proving the inequality $\int_X f\ln f d\mu-\int_X f d\mu\ln \int_X f d\mu\ge \int_X f\ln g d\mu-\int_X f d\mu\ln \int_X g d\mu$

Published on 16 Apr 2026 - 11:15

400

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Optimal probability distribution minimising a function

Published on 10 Apr 2026 - 18:47

87

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Expected value inequality with zero-mean variable

Published on 10 Apr 2026 - 3:20

241

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Symmetric inequality with three variables including radicals

Published on 11 Apr 2026 - 11:17

240

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Prove that $E(e^{X}) < \frac{1}{2}(e^{-K} + e^{K})$ if $E(X)=0$ and $|X|<K$ almost surely

Published on 16 Apr 2026 - 16:03

386

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Jensen inequality for matrix exponential of positive definite matrix (laplacian)

Published on 11 Apr 2026 - 2:55

178

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Generalisation of Jensen's inequality for two variables?

Published on 17 Apr 2026 - 1:38

117

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Does the following integral inequality hold?

Published on 24 Mar 2026 - 22:08

908

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Jensen's inequality for random functions in a Banach space

Published on 29 Apr 2026 - 12:54

2.1k

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When do we have equality in Jensen's inequality?

Published on 14 Apr 2026 - 1:43

98

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Looking for an inequality for $1 \leq p < \infty$

Published on 06 May 2026 - 9:23

55

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An inequality on the geometric mean of sines

Published on 11 Apr 2026 - 20:26

172

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Prove $\sum\limits_{cyc}\frac{1}{x^{2017}+ x^{2015}+ 1} \geq 1$ with $x,\,y,\,z>0,\,xyz= 1$

Published on 10 May 2026 - 10:32

281

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What inequalities can be obtained for summation of piecewise linear convex functions?

Published on 24 Mar 2026 - 23:46

List Question

Jensen inequality on square root

Proving the inequality $\int_X f\ln f d\mu-\int_X f d\mu\ln \int_X f d\mu\ge \int_X f\ln g d\mu-\int_X f d\mu\ln \int_X g d\mu$

Optimal probability distribution minimising a function

Expected value inequality with zero-mean variable

Symmetric inequality with three variables including radicals

Prove that $E(e^{X}) < \frac{1}{2}(e^{-K} + e^{K})$ if $E(X)=0$ and $|X|<K$ almost surely

Jensen inequality for matrix exponential of positive definite matrix (laplacian)

Generalisation of Jensen's inequality for two variables?

Does the following integral inequality hold?

Jensen's inequality for random functions in a Banach space

When do we have equality in Jensen's inequality?

Looking for an inequality for $1 \leq p < \infty$

An inequality on the geometric mean of sines

Prove $\sum\limits_{cyc}\frac{1}{x^{2017}+ x^{2015}+ 1} \geq 1$ with $x,\,y,\,z>0,\,xyz= 1$

What inequalities can be obtained for summation of piecewise linear convex functions?

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