$y=2 A \sin k x \cdot \cos \omega t$

In a standing waves the function of amplitude $\left(A_y\right)$ is given by $A_y=2 A \sin k x$

At mid-point of node and antinode $x=\frac{\lambda}{8}$

$A_y=2 A \sin \frac{2 \pi}{\lambda} \times \frac{\lambda}{8}\left[k=\frac{2 \pi}{\lambda}\right]$

$\text { or } A_y=\frac{2 A}{\sqrt{2}}$

$\therefore A_y=\sqrt{2} A$

Frequency is same at all points $=\frac{\omega}{2 \pi}$