Proving inequality relation between two complex numbers and a positive real parameter.
57670
Show that $|z_1 + z_2|^2 < (1+C)|z_1|^2 + \left(1 + \frac{1}{C}\right) |z_2|^2$
26501
Proof using complex numbers
89509
Suppose $z \neq -1$ is a complex number of norm 1. Prove that $(\frac{1+z}{|1+z|})^2 =z $
71566
Positive and negative complex numbers?
15116
Proof of the inequality $\frac{a}{b+c}+\frac{b}{a+c}+\frac{c}{a+b} \geq \frac{3}{2}$
15232
Proving an inequality involving real powers
123757
Proving a summation inequality with induction
56818
Prove that if $A$ is positive, then $\exists\;\alpha>0$ such that $\langle Ax, x \rangle\geq \alpha|x|^2$ for $x\in\Bbb{R}^n$
45711
Inequality with complex numbers
158844
If $a$ and $b$ are positive real numbers such that $a+b=1$, prove that $(a+1/a)^2+(b+1/b)^2\ge 25/2$
40700
Proving inequality $(a+\frac{1}{a})^2 + (b+\frac{1}{b})^2 \geq \frac{25}{2}$ for $a+b=1$
155423
lower triangle inequality for complex numbers
157733
Are positive real numbers $x,y$ allowed to be taken out during this proof?
101362
Let a,b,c be positive real number, proof.
118085
complex polynomial satisfying inequality
134049
Showing an inequality is valid
120390
An inequality involving 4 real or complex numbers