Binomial Theorem Inequality
30386
Showing the inequality $|\alpha + \beta|^p \leq 2^{p-1}(|\alpha|^p + |\beta|^p)$
120309
Number Theory Inequality Proof
61270
Binomial Theorem Sum
16798
Prove the inequality $n! \geq 2^n$ by induction
63510
Prove: $\binom{n}{k}^{-1}=(n+1)\int_{0}^{1}x^{k}(1-x)^{n-k}dx$ for $0 \leq k \leq n$
16392
Prove the Inequality on sequence
59638
How to prove this result on binomial coefficients?
88838
How can I prove this inequality for $n\geq 2$?
107258
Proving If $k \le \left\lfloor \frac{n}{2} \right\rfloor$ then $\binom{n}{k-1} < \binom{n}{k}$
150438
Binomial theorem for non integers ? O_o ??
144571
A conjecture including binomial coefficients
143968
Proving this inequality by mathematical induction
122156
An inequality concerning three positive numbers
111951
Prove $\binom{n}{m}\binom{m}{k} = \binom{n}{k}\binom{n-k}{m-k}$
155769
Prove $\sum_{k= 0}^{n} k \binom{n}{k} = n \cdot 2^{n-1}$ using the binomial theorem for $n\geq1$
133809
Inequality with sum of Binomial coefficients: $\sum\limits^n_{k=1}k \sqrt{\binom nk}\leq\sqrt{2^{n-1}n^3}$
79847
proving of inequality $(n!)^2 \leq n^n\cdot n!\leq (2n!)$, where $n\in \mathbb{N}$