List questions from inequality

Published on 24 Mar 2026 - 22:09

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Prove all the roots of a given polynomial lie in the disk with radius $2$

Published on 24 Mar 2026 - 20:32

606

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Prove that $\int_E \log fd\mu \leqslant \mu(E) \, \log \left[\frac{1}{\mu(E)} \right]$ for strictly positive measure $\mu$

Published on 24 Mar 2026 - 9:12

158

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Inequality : $ \sqrt{\frac{a}{b+1}} + \sqrt{\frac{b}{c+1}} +\sqrt{\frac{c}{a+1}} \le \frac{3}{2} $

Published on 03 Feb 2018 - 13:56

479

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How to think about proofs of inequalities (precalculus)?

Published on 03 Feb 2018 - 14:18

111

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How to solve this inequality

Published on 03 Feb 2018 - 14:41

418

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Solving the inequality $|2-x|>1$

Published on 03 Feb 2018 - 16:41

286

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Bounding the norm of matrix powers

Published on 03 Feb 2018 - 16:54

106

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Find the minimum value of an expression with three variables

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599

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A lower bound for the sum of probabilities of independent events.

Published on 20 Mar 2026 - 6:18

358

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Is it sufficient to prove Jensen's Inequality holds for an example probability distribution to prove that a function is convex?

Published on 22 Mar 2026 - 23:02

274

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Proving triangle inequality holds for a specific metric.

Published on 04 Feb 2018 - 5:05

199

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Solve the inequality $|x^2-3x-15|<2x^2-x$

Published on 24 Mar 2026 - 22:09

95

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What type of measure is this?

Published on 22 Mar 2026 - 19:37

161

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Maximize value of the function $A=\sqrt{|x-y|}+\sqrt{|y-z|}+\sqrt{|z-x|}$

Published on 24 Mar 2026 - 23:46

List Question

Prove by induction that $(k + 2)^{k + 1} \leq (k+1)^{k +2}$

Prove all the roots of a given polynomial lie in the disk with radius $2$

Prove that $\int_E \log fd\mu \leqslant \mu(E) \, \log \left[\frac{1}{\mu(E)} \right]$ for strictly positive measure $\mu$

Inequality : $ \sqrt{\frac{a}{b+1}} + \sqrt{\frac{b}{c+1}} +\sqrt{\frac{c}{a+1}} \le \frac{3}{2} $

How to think about proofs of inequalities (precalculus)?

How to solve this inequality

Solving the inequality $|2-x|>1$

Bounding the norm of matrix powers

Find the minimum value of an expression with three variables

A lower bound for the sum of probabilities of independent events.

Is it sufficient to prove Jensen's Inequality holds for an example probability distribution to prove that a function is convex?

Proving triangle inequality holds for a specific metric.

Solve the inequality $|x^2-3x-15|<2x^2-x$

What type of measure is this?

Maximize value of the function $A=\sqrt{|x-y|}+\sqrt{|y-z|}+\sqrt{|z-x|}$

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