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12 Answered Questions

[SOLVED] How to prove that $\log(x)<x$ when $x>1$?

3 Answered Questions

[SOLVED] How do you prove Gautschi's inequality for the gamma function?

4 Answered Questions

[SOLVED] Reverse Triangle Inequality Proof

6 Answered Questions

[SOLVED] Elementary central binomial coefficient estimates

18 Answered Questions

[SOLVED] Proofs of AM-GM inequality

11 Answered Questions

[SOLVED] Comparing $\pi^e$ and $e^\pi$ without calculating them

1 Answered Questions

[SOLVED] Inequality involving $\limsup$ and $\liminf$: $ \liminf(a_{n+1}/a_n) \le \liminf((a_n)^{(1/n)}) \le \limsup((a_n)^{(1/n)}) \le \limsup(a_{n+1}/a_n)$

24 Answered Questions

[SOLVED] Simplest or nicest proof that $1+x \le e^x$

8 Answered Questions

[SOLVED] How to prove and interpret $\operatorname{rank}(AB) \leq \operatorname{min}(\operatorname{rank}(A), \operatorname{rank}(B))$?

4 Answered Questions

[SOLVED] Is the Euler phi function bounded below?

9 Answered Questions

[SOLVED] Proof of triangle inequality

1 Answered Questions

[SOLVED] Show that $\left|\frac{\alpha - \beta}{1-\bar{\alpha}\beta}\right| < 1$ when $|\alpha|,|\beta| < 1$

4 Answered Questions

[SOLVED] Purely "algebraic" proof of Young's Inequality

2 Answered Questions

[SOLVED] Proof of upper-tail inequality for standard normal distribution

7 Answered Questions

[SOLVED] prove that $\frac{(2n)!}{(n!)^2}$ is even if $n$ is a positive integer

2 Answered Questions

[SOLVED] Prove the inequality $n! \geq 2^n$ by induction

6 Answered Questions

[SOLVED] Proving $\sum\limits_{k=1}^{n}{\frac{1}{\sqrt{k}}\ge\sqrt{n}}$ with induction

18 Answered Questions

[SOLVED] How to prove this inequality $ x + \frac{1}{x} \geq 2 $

  • 2014-03-09 08:18:39
  • Aspiring Mathlete
  • 10268 View
  • 5 Score
  • 18 Answer
  • Tags:   inequality

2 Answered Questions

[SOLVED] How do you show that $l_p \subset l_q$ for $p \leq q$?

1 Answered Questions

[SOLVED] Prove that $(p+q)^m \leq p^m+q^m$

6 Answered Questions

[SOLVED] How to prove $a^2 + b^2 + c^2 \ge ab + bc + ca$?

2 Answered Questions

[SOLVED] If $\sigma_n=\frac{s_1+s_2+\cdots+s_n}{n}$ then $\operatorname{{lim sup}}\sigma_n \leq \operatorname{lim sup} s_n$

7 Answered Questions

[SOLVED] Show that if $n>2$, then $(n!)^2>n^n$.

4 Answered Questions

[SOLVED] lim sup inequality $\limsup ( a_n b_n ) \leq \limsup a_n \limsup b_n $

5 Answered Questions

[SOLVED] How to prove $\text{Rank}(AB)\leq \min(\text{Rank}(A), \text{Rank}(B))$?

4 Answered Questions

[SOLVED] Showing the inequality $|\alpha + \beta|^p \leq 2^{p-1}(|\alpha|^p + |\beta|^p)$

4 Answered Questions

[SOLVED] Prove $\limsup\limits_{n \to \infty} (a_n+b_n) \le \limsup\limits_{n \to \infty} a_n + \limsup\limits_{n \to \infty} b_n$

1 Answered Questions

[SOLVED] Could this approximation be made simpler ? Solve $n!=a^n 10^k$

6 Answered Questions

[SOLVED] Proving : $ \bigl(1+\frac{1}{n+1}\bigr)^{n+1} \gt (1+\frac{1}{n})^{n} $

5 Answered Questions

[SOLVED] How do you prove ${n \choose k}$ is maximum when $k$ is $ \lceil \tfrac n2 \rceil$ or $ \lfloor \tfrac n2\rfloor $?

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