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

How prove this inequality $x^3y+y^3z+z^3x\ge xyz(x+y+z)$

inequality polynomials a.m.-g.m.-inequality sum-of-squares-method rearrangement-inequality

If $a+b+c+d=16$, then $(a+\frac{1}{c})^2+(c+\frac{1}{a})^2 + (b+\frac{1}{d})^2 + (d+\frac{1}{b})^2 \geq \frac{289}{4}$

elementary-number-theory multivariable-calculus inequality a.m.-g.m.-inequality jensen-inequality

AM-GM inequality: $\frac{a^2}{b} + \frac{b^2}{c} + \frac{c^2}{d} + \frac{d^2}{a} \geq a + b + c + d$

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

proving :$\frac{ab}{a^2+3b^2}+\frac{cb}{b^2+3c^2}+\frac{ac}{c^2+3a^2}\le\frac{3}{4}$.

inequality substitution a.m.-g.m.-inequality cauchy-schwarz-inequality sum-of-squares-method

Simple AM-GM inequality

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

Solving Equation through inequalities.

algebra-precalculus elementary-number-theory inequality roots a.m.-g.m.-inequality

How to find the minimum value of this function?

multivariable-calculus inequality optimization cauchy-schwarz-inequality a.m.-g.m.-inequality

Show that $h(e)<f(e)$ where e is the exponential

derivatives inequality exponential-function a.m.-g.m.-inequality constants

Prove this Kenneth S. Williams inequality

real-analysis multivariable-calculus inequality a.m.-g.m.-inequality

How to prove the inequality $ \frac{a}{\sqrt{1+a}}+\frac{b}{\sqrt{1+b}}+\frac{c}{\sqrt{1+c}} \ge \frac{3\sqrt{2}}{2}$

inequality lagrange-multiplier substitution a.m.-g.m.-inequality holder-inequality

Prove that if $a+b+c+d=4$, then $(a^2+3)(b^2+3)(c^2+3)(d^2+3)\geq256$

real-analysis inequality a.m.-g.m.-inequality cauchy-schwarz-inequality tangent-line-method

Stronger than Nesbitt's inequality $\frac{a}{\sqrt[4]{8(b^4+c^4)}}+\frac{b}{a+c}+\frac{c}{a+b}\geq\frac{3}{2}$

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

Prove that $\frac{a_1^2}{a_1+a_2}+\frac{a_2^2}{a_2+a_3}+ \cdots \frac{a_n^2}{a_n+a_1} \geq \frac12$

algebra-precalculus inequality contest-math cauchy-schwarz-inequality a.m.-g.m.-inequality

Combined AM GM QM inequality

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

The inequality $\,2+\sqrt{\frac p2}\leq\sum\limits_\text{cyc}\sqrt{\frac{a^2+pbc}{b^2+c^2}}\,$ where $0\leq p\leq 2$ is: Probably true! Provably true?

algebra-precalculus inequality summation a.m.-g.m.-inequality uvw

Challenging inequality: $abcde=1$, show that $\frac{1}{a}+\frac{1}{b}+\frac{1}{c}+\frac{1}{d}+\frac{1}{e}+\frac{33}{2(a+b+c+d+e)}\ge{\frac{{83}}{10}}$

algebra-precalculus multivariable-calculus inequality lagrange-multiplier a.m.-g.m.-inequality

Inequalities help: $(a^3+b^3)^2\leq (a^2+b^2)(a^4+b^4)$

real-analysis algebra-precalculus inequality a.m.-g.m.-inequality cauchy-schwarz-inequality

Finding maxima of a function $f(x) = \sqrt{x} - 2x^2$ without calculus

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

Inequality: $ab^2+bc^2+ca^2 \le 4$, when $a+b+c=3$.

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

Prove $\sqrt{3a + b^3} + \sqrt{3b + c^3} + \sqrt{3c + a^3} \ge 6$

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