List questions from inequality

Published on 04 Apr 2018 - 2:41

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Prove this inequality $\sum_{cyc}\sqrt[4]{\frac{a}{b+c}}\ge \sqrt[4]{16+\frac{196abc}{(a+b)(b+c)(c+a)}}$

Published on 25 Mar 2026 - 13:57

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If $F_n$ is the Fibonacci sequence, show that $F_n < \left(\frac 74\right)^n$ for $n\geq 1.$

Published on 25 Mar 2026 - 6:06

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Inequality on sums

Published on 04 Apr 2018 - 19:03

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Understanding Kantorovich's inequality

Published on 29 Mar 2026 - 11:43

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How to demonstrate this inequality?

Published on 04 Apr 2018 - 23:14

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Prove that $\sum_{cyc} {\frac{y-x}{y^2-1}}$ >0

Published on 22 Mar 2026 - 16:54

133

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Can we establish the following inequalities

Published on 25 Mar 2026 - 16:46

56

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On proving a limit tending to zero

Published on 05 Apr 2018 - 6:29

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Condition on abc so that value of determinant is positive

Published on 26 Mar 2026 - 16:56

125

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Prove that $1+\frac{1}{2^3}+\frac{1}{3^3}+\cdots+\frac{1}{2018^3}<\frac{5}{4}$

Published on 27 Mar 2026 - 18:10

153

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$\|f+g\|^p +\|f-g\|^p \geq (\|f\| +\|g\|)^p + | \|f\| -\|g\||^p$.

Published on 05 Apr 2018 - 18:20

234

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Interesting 3 Variable Inequality for Real Numbers

Published on 25 Mar 2026 - 14:20

199

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Proving Schwarz inequlity.

Published on 27 Mar 2026 - 5:02

131

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Proving expression$\geq 2$, where variables are $x,y,z$

Published on 25 Mar 2026 - 7:43

List Question

Let $a,b,c > 1$, Show that $abc + \frac 1 {a}+\frac 1 {b} + \frac 1 {c} > a+ b+ c +\frac 1 {abc} $

Prove this inequality $\sum_{cyc}\sqrt[4]{\frac{a}{b+c}}\ge \sqrt[4]{16+\frac{196abc}{(a+b)(b+c)(c+a)}}$

If $F_n$ is the Fibonacci sequence, show that $F_n < \left(\frac 74\right)^n$ for $n\geq 1.$

Inequality on sums

Understanding Kantorovich's inequality

How to demonstrate this inequality?

Prove that $\sum_{cyc} {\frac{y-x}{y^2-1}}$ >0

Can we establish the following inequalities

On proving a limit tending to zero

Condition on abc so that value of determinant is positive

Prove that $1+\frac{1}{2^3}+\frac{1}{3^3}+\cdots+\frac{1}{2018^3}<\frac{5}{4}$

$\|f+g\|^p +\|f-g\|^p \geq (\|f\| +\|g\|)^p + | \|f\| -\|g\||^p$.

Interesting 3 Variable Inequality for Real Numbers

Proving Schwarz inequlity.

Proving expression$\geq 2$, where variables are $x,y,z$

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