List questions from jensen-inequality

Published on 03 Oct 2020 - 22:44

140

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Applying Jensen's inequality to find a bound

Published on 03 Oct 2020 - 23:41

19

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Upperbound of Kullback-Leibler between marginals

Published on 08 Oct 2020 - 21:53

107

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Ask for a proof that expectation falls in convex domain

Published on 09 Oct 2020 - 4:17

352

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Inequality between geometric mean and harmonic mean

Published on 10 Oct 2020 - 14:40

102

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Convexity in NMF proof

Published on 12 Oct 2020 - 21:10

124

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Stronger than Nesbitt's inequality using convexity and functions

Published on 01 Nov 2020 - 16:29

221

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Prove this refinement of Nesbitt's inequality based on another

Published on 25 Mar 2026 - 23:36

691

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Probability of a deviation when Jensen’s inequality is almost tight

Published on 14 Nov 2020 - 4:38

105

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Verify that $M_{X}(t) \ge e^{t\mu}$ using Jensen's identity

Published on 16 Nov 2020 - 22:08

143

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Existence of an asymptote for $g(x)=\frac{f(x)f'(x)+f(1)f'(1)}{f'(x)+f'(1)}-f\left(\frac{xf'(x)+f'(1)}{f'(x)+f'(1)}\right)$

Published on 24 Nov 2020 - 12:08

57

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Some converse of Jensen inequality for some extreme random variable

Published on 25 Nov 2020 - 10:45

103

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Is there a simpler way to prove that a fractional function with three variables is convex?

Published on 25 Nov 2020 - 14:19

142

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Show the inequality : $a^{(2(1-a))}+b^{(2(1-b))}+c^{(2(1-c))}+c\leq 1$

Published on 29 Nov 2020 - 16:05

181

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Refinement of $\left(\frac{a+1}{a+b} \right)^{\frac25}+\left(\frac{b+1}{b+c} \right)^{\frac25}+\left(\frac{c+1}{c+a} \right)^{\frac25} \geqslant 3$

Published on 05 Dec 2020 - 12:38

List Question

Jensen's Inequality

Applying Jensen's inequality to find a bound

Upperbound of Kullback-Leibler between marginals

Ask for a proof that expectation falls in convex domain

Inequality between geometric mean and harmonic mean

Convexity in NMF proof

Stronger than Nesbitt's inequality using convexity and functions

Prove this refinement of Nesbitt's inequality based on another

Probability of a deviation when Jensen’s inequality is almost tight

Verify that $M_{X}(t) \ge e^{t\mu}$ using Jensen's identity

Existence of an asymptote for $g(x)=\frac{f(x)f'(x)+f(1)f'(1)}{f'(x)+f'(1)}-f\left(\frac{xf'(x)+f'(1)}{f'(x)+f'(1)}\right)$

Some converse of Jensen inequality for some extreme random variable

Is there a simpler way to prove that a fractional function with three variables is convex?

Show the inequality : $a^{(2(1-a))}+b^{(2(1-b))}+c^{(2(1-c))}+c\leq 1$

Refinement of $\left(\frac{a+1}{a+b} \right)^{\frac25}+\left(\frac{b+1}{b+c} \right)^{\frac25}+\left(\frac{c+1}{c+a} \right)^{\frac25} \geqslant 3$

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