Proof of Geometric mean $\le$ Arithmetic mean
72113
Geometric mean never exceeds arithmetic mean
157432
How to use the Mean Value Theorem to prove the following statement:
98733
Proof for the calculation of mean in negative binomial distribution
2799
Question about arithmetic–geometric mean
45751
Expectation of the maximum of i.i.d. geometric random variables
119654
How to prove that geometric distributions converge to an exponential distribution?
90896
proof of inequality $e^x\le x+e^{x^2}$
44575
The sigma function (sum of divisors) multiplicative proof
82591
Prove $(x+r_1) \cdots (x+r_n) \geq (x+(r_1 \cdots r_n)^{1/n})^{n}$.
33731
Geometric mean of uniform variables
126561
Proof of equivalence of algebraic and geometric dot product?
105268
prove inequality through mean value theorem
94077
Proof of linear independence of $e^{at}$
3820
Prove that $||x|-|y||\le |x-y|$
16253
Proof that $|\sin(nx)| \le n|\sin(x)|$
8007
Proof of Young's inequality
72313
Show that for all real numbers $a$ and $b$, $\,\, ab \le (1/2)(a^2+b^2)$