New posts in Inequality

How do I prove this trigonometry inequality $\sin^2(y) \leq 2 \sin^2(x) + 2\sin^2(y-x)$?

Vector norm of integral inequality

show this inequality $x^{n+1}+y^{n+1}\ge x^n+y^n$

Which number is greater? $2\sqrt{2}$ or $e$

Area bounded by $2 \leq|x+3 y|+|x-y| \leq 4$

Prove that $\frac{a^{2}+1}{b}+\frac{b^{2}+1}{a} \geq 4$

Minimum of $\left|1-\left(ab+bc+ca\right)\right|+\left|1-abc\right|$

Range of $\frac{\cos\theta_1+\cdots+\cos\theta_{10}}{\sin\theta_1+\cdots+\sin\theta_{10}}$ given $\sin^2\theta_1+\cdots+\sin^2\theta_{10}=1$

Proving $abcd+3\geq a+b+c+d$

Is The Inverse Laplace Transform of $e^{st}\operatorname{Log}\left(\frac{s+1}{s}\right)$ doable using inversion formula?