List questions from buffalo-way | MathQA

Generalization of a cyclic inequality : $ \sum_{cyc}{\sqrt{\frac{x+1}{4x^2+10x+4}}}\leqslant 1$

Published on 13 Feb 2022 - 12:29

General case of :$\frac{a}{1+b}+\frac{b}{1+c}+\frac{c}{1+d}+\frac{d}{1+a}\leq \frac{a+b+c+d}{1+\frac{1}{4}(a+c)(b+d)}$

Published on 13 Mar 2022 - 13:13

Conjecture about : $\sum_{cyc}\frac{214x^4}{133x^3 + 81y^3}\ge\frac{x+y+z}{12}+\sum_{cyc}\frac{13x^4}{8x^3+5y^3}-0.25(x-\frac{2yx}{2y+x})\ge x+y+z$

Published on 07 Apr 2022 - 15:21

About the conjecture $\frac{a^{4}}{133a^{3}+81b^{3}}+\frac{b^{3}}{133b^{3}+81c^{3}}+\frac{c^{4}}{133c^{3}+81a^{3}}-\frac{(a+\sqrt{b}+c)}{214}\ge 0$

Published on 28 May 2022 - 15:40

Smallest positive $k$ such that $\sum_{cyc}\left(\frac{(k-1)(z+x)}{y}-\frac{3}{2}\right)(x-y)^2\geq 0$

Published on 05 Jun 2022 - 9:27

Which Buffalo Way is stronger?

Published on 06 Aug 2022 - 2:42

How To Prove $a^3b＋b^3c＋c^3a>a^2b^2＋b^2c^2＋a^2c^2 $ if $ a > b > c > 0\,$?

Published on 30 Dec 2022 - 18:30