- #1
Likemath2014
- 17
- 0
hi there,
I am trying to prove the following inequality:
let [tex]z\in \mathbb{D}[/tex] then
[tex]\left| \frac{z}{\lambda} +1-\frac{1}{\lambda}\right|<1[/tex] if and only if [tex]\lambda\geq1.[/tex]
The direction if [tex]\lambda>1[/tex] is pretty easy, but I am wondering about the other direction.
Thanks in advance
I am trying to prove the following inequality:
let [tex]z\in \mathbb{D}[/tex] then
[tex]\left| \frac{z}{\lambda} +1-\frac{1}{\lambda}\right|<1[/tex] if and only if [tex]\lambda\geq1.[/tex]
The direction if [tex]\lambda>1[/tex] is pretty easy, but I am wondering about the other direction.
Thanks in advance
Last edited: