List questions from inequality

Published on 13 Oct 2018 - 12:18

118

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Inequality $(\sqrt5+2)^x+(\sqrt5-2)^x\le2\sqrt5$

Published on 13 Oct 2018 - 12:58

214

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Show that $\frac {1}{3+x^2+y^2} + \frac {1}{3+y^2+z^2} +\frac{1} {3+x^2+z^2}\leq \frac {3}{5} . $

Published on 03 Apr 2026 - 22:59

85

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Show that $ Ax^2 + x + 1 = 0 $ has roots greater than $1$ given $-1<A<0$

Published on 26 Mar 2026 - 19:11

76

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Taylor's Theorem Proof: Confused About the Validity of Two Inequalities

Published on 30 Mar 2026 - 1:51

49

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How can I solve this quadratic problem?

Published on 25 Mar 2026 - 11:17

1.5k

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Prove $\ 1<\frac{1}{n+1}+\frac{1}{n+2}+ ... + \frac{1}{3n+1}<2 $ using Cauchy-Schwarz

Published on 26 Mar 2026 - 19:20

120

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Expand the inequality $E(|X|^r)^\frac{1}{r}\le E(|X|^s)^\frac{1}{s}$ to $-\infty<r<s<\infty$

Published on 31 Mar 2026 - 19:15

154

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Inequality with choose function: $1\sqrt{\binom n1} + 2\sqrt{\binom n2}+3\sqrt{\binom n3}+\cdots+n\sqrt{\binom nn} < \sqrt{{2^{n-1}}{n^3}}$

Published on 26 Mar 2026 - 16:07

51

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By mathematical induction prove that?

Published on 25 Mar 2026 - 15:48

260

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Solving a double absolute inequality

Published on 14 Oct 2018 - 16:53

1.4k

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Clueless on how to prove $\|(a,b)\| \le |a|+|b|$

Published on 25 Mar 2026 - 22:23

171

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Cubic Inequality Proof

Published on 15 Oct 2018 - 0:33

97

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Making a proof using AM-GM.

Published on 26 Mar 2026 - 4:49

38

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Why put $x=1,x=-1,x=0$ here?

Published on 15 Oct 2018 - 1:23

List Question

Using inequalities to estimate probability in coin-toss

Inequality $(\sqrt5+2)^x+(\sqrt5-2)^x\le2\sqrt5$

Show that $\frac {1}{3+x^2+y^2} + \frac {1}{3+y^2+z^2} +\frac{1} {3+x^2+z^2}\leq \frac {3}{5} . $

Show that $ Ax^2 + x + 1 = 0 $ has roots greater than $1$ given $-1<A<0$

Taylor's Theorem Proof: Confused About the Validity of Two Inequalities

How can I solve this quadratic problem?

Prove $\ 1<\frac{1}{n+1}+\frac{1}{n+2}+ ... + \frac{1}{3n+1}<2 $ using Cauchy-Schwarz

Expand the inequality $E(|X|^r)^\frac{1}{r}\le E(|X|^s)^\frac{1}{s}$ to $-\infty<r<s<\infty$

Inequality with choose function: $1\sqrt{\binom n1} + 2\sqrt{\binom n2}+3\sqrt{\binom n3}+\cdots+n\sqrt{\binom nn} < \sqrt{{2^{n-1}}{n^3}}$

By mathematical induction prove that?

Solving a double absolute inequality

Clueless on how to prove $\|(a,b)\| \le |a|+|b|$

Cubic Inequality Proof

Making a proof using AM-GM.

Why put $x=1,x=-1,x=0$ here?

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