New posts in uvw

How prove that $10(a^3+b^3+c^3)-9(a^5+b^5+c^5)\le\dfrac{9}{4}$

inequality uvw

How prove that $xyz+\sqrt{x^2y^2+y^2z^2+x^2z^2}\ge \frac{4}{3}\sqrt{xyz(x+y+z)}$

real-analysis inequality radicals substitution uvw

Inequality for Olympiad students

inequality contest-math cauchy-schwarz-inequality symmetric-polynomials uvw

It may be a strengthening form of mean inequality

inequality contest-math substitution symmetric-polynomials uvw

Prove that $\sum\limits_{cyc}\frac{a}{a+b}\geq1+\frac{3\sqrt[3]{a^2b^2c^2}}{2(ab+ac+bc)}$

inequality contest-math substitution uvw

prove this inequality with $63$

real-analysis multivariable-calculus inequality uvw mixing-variables

Prove $\frac{1}{2a+2bc+1} + \frac{1}{2b+2ca+1} + \frac{1}{2c+2ab+1} \ge 1$

inequality polynomials fractions substitution uvw

Prove that $({a\over a+b})^3+({b\over b+c})^3+ ({c\over c+a})^3\geq {3\over 8}$

inequality cauchy-schwarz-inequality holder-inequality jensen-inequality uvw

Hard inequality for positive numbers

inequality cauchy-schwarz-inequality symmetric-polynomials uvw

Hard inequality $ (xy+yz+zx)\left(\frac{1}{(x+y)^2}+\frac{1}{(y+z)^2}+\frac{1}{(z+x)^2}\right)\ge\frac{9}{4} $

inequality contest-math substitution symmetric-polynomials uvw

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

How prove this $x^3+y^3+z^3+3\ge 2(x^2+y^2+z^2)$

multivariable-calculus inequality substitution uvw mixing-variables

How prove $\frac{1}{a}+\frac{1}{b}+\frac{1}{c}\le\frac{3}{\sqrt{7}}$

multivariable-calculus inequality substitution symmetric-polynomials uvw

How to prove this inequality? $ab+ac+ad+bc+bd+cd\le a+b+c+d+2abcd$

inequality contest-math substitution symmetric-polynomials uvw

How prove this inequality $\frac{2}{(a+b)(4-ab)}+\frac{2}{(b+c)(4-bc)}+\frac{2}{(a+c)(4-ac)}\ge 1$

inequality cauchy-schwarz-inequality uvw

Prove $\sum{\frac{1}{(x+2y)^2}} \geq\frac{1}{xy+yz+zx}$

inequality contest-math fractions substitution uvw

Proving inequality $\frac{a}{b}+\frac{b}{c}+\frac{c}{a}+\frac{3\sqrt[3]{abc}}{a+b+c} \geq 4$

inequality radicals substitution cauchy-schwarz-inequality uvw

How to prove this inequality $\sqrt{\frac{ab+bc+cd+da+ac+bd}{6}}\geq \sqrt[3]{{\frac{abc+bcd+cda+dab}{4}}}$

inequality contest-math radicals substitution uvw

How prove this inequality $\sum\limits_{cyc}\frac{x+y}{\sqrt{x^2+xy+y^2+yz}}\ge 2+\sqrt{\frac{xy+yz+xz}{x^2+y^2+z^2}}$

inequality substitution cauchy-schwarz-inequality uvw rearrangement-inequality