New posts in a.m.-g.m.-inequality

Prove the inequality $\sqrt\frac{a}{a+8} + \sqrt\frac{b}{b+8} +\sqrt\frac{c}{c+8} \geq 1$ with the constraint $abc=1$

inequality radicals substitution a.m.-g.m.-inequality holder-inequality

The Kullback-Leibler Divergence Proof of Exact Same Distribution

probability probability-distributions expected-value entropy a.m.-g.m.-inequality

Let $a,b,c\in \Bbb R^+$ such that $(1+a+b+c)(1+\frac{1}{a}+\frac{1}{b}+\frac{1}{c})=16$. Find $(a+b+c)$

algebra-precalculus inequality systems-of-equations a.m.-g.m.-inequality cauchy-schwarz-inequality

Is the AM-GM inequality the only obstruction for getting a specific sum and product?

real-analysis polynomials systems-of-equations a.m.-g.m.-inequality

Proof of one inequality $a+b+c\leq\frac{a^3}{bc}+\frac{b^3}{ca}+\frac{c^3}{ab}$

inequality fractions a.m.-g.m.-inequality cauchy-schwarz-inequality holder-inequality

Prove the inequality $a^2bc+b^2cd+c^2da+d^2ab \leq 4$ with $a+b+c+d=4$

inequality substitution a.m.-g.m.-inequality rearrangement-inequality

Inequality with five variables

inequality contest-math fractions a.m.-g.m.-inequality cauchy-schwarz-inequality

Minimum of $\sqrt{\frac{a}{b+c}}+\sqrt{\frac{b}{c+a}}+\sqrt{\frac{c}{a+b}}$

algebra-precalculus inequality contest-math a.m.-g.m.-inequality holder-inequality

Prove $1<ab+bc+ca-abc<\frac{28}{27}$

inequality cauchy-schwarz-inequality a.m.-g.m.-inequality

Prove that $xy \leq\frac{x^p}{p} + \frac{y^q}{q}$

calculus inequality a.m.-g.m.-inequality young-inequality jensen-inequality

Prove $\sqrt{a} + \sqrt{b} + \sqrt{c} \ge ab + bc + ca$

inequality proof-writing radicals a.m.-g.m.-inequality tangent-line-method

Can we prove AM-GM Inequality using these integrals?

calculus integration inequality a.m.-g.m.-inequality

Prove that $(1+a_1) \cdot (1+a_2) \cdot \dots \cdot (1+a_n) \geq 2^n$ [duplicate]

inequality a.m.-g.m.-inequality holder-inequality

New bound for Am-Gm of 2 variables

real-analysis inequality exponential-function alternative-proof a.m.-g.m.-inequality

Maximum value of function $f(x)=\frac{x^4-x^2}{x^6+2x^3-1}$ when $x >1$

real-analysis functions optimization maxima-minima a.m.-g.m.-inequality

Minimum value of given expression

algebra-precalculus maxima-minima a.m.-g.m.-inequality

Prove $(a_1+b_1)^{1/n}\cdots(a_n+b_n)^{1/n}\ge \left(a_1\cdots a_n\right)^{1/n}+\left(b_1\cdots b_n\right)^{1/n}$

inequality a.m.-g.m.-inequality holder-inequality

Prove that $\left(\sum^n_{k=1}x_k\right)\left(\sum^n_{k=1}y_k\right)\geq n^2$

inequality summation induction a.m.-g.m.-inequality cauchy-schwarz-inequality

Is this continuous analogue to the AM–GM inequality true?

integration inequality integral-inequality a.m.-g.m.-inequality

Proofs of AM-GM inequality

real-analysis inequality alternative-proof means a.m.-g.m.-inequality