13 Answered Questions
[SOLVED] How to prove that $\log(x)<x$ when $x>1$?
- 2015-12-26 12:24:08
- Gianolepo
- 7665 View
- 47 Score
- 13 Answer
- Tags: calculus inequality logarithms
4 Answered Questions
[SOLVED] Reverse Triangle Inequality Proof
- 2012-04-02 20:10:45
- Anonymous
- 134558 View
- 87 Score
- 4 Answer
- Tags: real-analysis inequality absolute-value
3 Answered Questions
[SOLVED] How do you prove Gautschi's inequality for the gamma function?
- 2012-01-12 00:47:35
- J. M. is a poor mathematician
- 2732 View
- 47 Score
- 3 Answer
- Tags: inequality special-functions gamma-function
20 Answered Questions
[SOLVED] Proofs of AM-GM inequality
- 2014-02-26 21:40:13
- Michiel Van Couwenberghe
- 22157 View
- 89 Score
- 20 Answer
- Tags: real-analysis inequality alternative-proof means a.m.-g.m.-inequality
6 Answered Questions
[SOLVED] Elementary central binomial coefficient estimates
- 2011-08-19 20:26:53
- Robert William Hanks
- 5907 View
- 28 Score
- 6 Answer
- Tags: elementary-number-theory inequality binomial-coefficients
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)$
- 2011-10-02 23:36:44
- Relsiark
- 4914 View
- 15 Score
- 1 Answer
- Tags: real-analysis analysis inequality limsup-and-liminf
11 Answered Questions
[SOLVED] Comparing $\pi^e$ and $e^\pi$ without calculating them
- 2010-10-26 09:29:48
- Mirzodaler
- 10661 View
- 84 Score
- 11 Answer
- Tags: real-analysis inequality exponential-function exponentiation pi
26 Answered Questions
[SOLVED] Simplest or nicest proof that $1+x \le e^x$
- 2013-09-25 10:04:07
- Ashley Montanaro
- 17238 View
- 82 Score
- 26 Answer
- Tags: inequality exponential-function big-list
8 Answered Questions
[SOLVED] How to prove and interpret $\operatorname{rank}(AB) \leq \operatorname{min}(\operatorname{rank}(A), \operatorname{rank}(B))$?
- 2010-07-28 16:02:17
- user365
- 19114 View
- 47 Score
- 8 Answer
- Tags: linear-algebra matrices inequality matrix-rank
4 Answered Questions
[SOLVED] Is the Euler phi function bounded below?
- 2013-02-13 04:18:27
- user41419
- 8014 View
- 18 Score
- 4 Answer
- Tags: number-theory inequality totient-function
2 Answered Questions
[SOLVED] Show that $\left|\frac{\alpha - \beta}{1-\bar{\alpha}\beta}\right| < 1$ when $|\alpha|,|\beta| < 1$
- 2013-09-26 16:50:11
- Andomar
- 1034 View
- 11 Score
- 2 Answer
- Tags: complex-analysis inequality complex-numbers
9 Answered Questions
[SOLVED] Proof of triangle inequality
- 2013-02-18 19:07:48
- ivan
- 135592 View
- 42 Score
- 9 Answer
- Tags: inequality absolute-value
2 Answered Questions
[SOLVED] Proof of upper-tail inequality for standard normal distribution
- 2011-03-24 01:45:24
- user754
- 20050 View
- 23 Score
- 2 Answer
- Tags: statistics inequality probability-distributions faq
4 Answered Questions
[SOLVED] Purely "algebraic" proof of Young's Inequality
- 2012-12-16 07:21:41
- asmeurer
- 14314 View
- 44 Score
- 4 Answer
- Tags: real-analysis algebra-precalculus inequality young-inequality
1 Answered Questions
[SOLVED] Prove that $(p+q)^m \leq p^m+q^m$
- 2012-12-23 15:21:22
- Argha
- 1781 View
- 26 Score
- 1 Answer
- Tags: inequality exponentiation
2 Answered Questions
[SOLVED] Prove the inequality $n! \geq 2^n$ by induction
- 2011-10-29 16:03:56
- Floris Devriendt
- 16958 View
- 19 Score
- 2 Answer
- Tags: inequality induction proof-writing factorial
2 Answered Questions
[SOLVED] How do you show that $l_p \subset l_q$ for $p \leq q$?
- 2010-09-05 20:05:19
- user1736
- 14229 View
- 45 Score
- 2 Answer
- Tags: analysis functional-analysis inequality lp-spaces
7 Answered Questions
[SOLVED] prove that $\frac{(2n)!}{(n!)^2}$ is even if $n$ is a positive integer
- 2011-11-03 09:33:41
- hdtv1104
- 20694 View
- 35 Score
- 7 Answer
- Tags: algebra-precalculus number-theory elementary-number-theory inequality binomial-coefficients
6 Answered Questions
[SOLVED] Proving $\sum\limits_{k=1}^{n}{\frac{1}{\sqrt{k}}\ge\sqrt{n}}$ with induction
- 2011-08-08 16:19:28
- Jason
- 6559 View
- 14 Score
- 6 Answer
- Tags: inequality summation induction radicals
18 Answered Questions
[SOLVED] How to prove this inequality $ x + \frac{1}{x} \geq 2 $
- 2014-03-09 08:18:39
- Aspiring Mathlete
- 12934 View
- 5 Score
- 18 Answer
- Tags: inequality
4 Answered Questions
[SOLVED] Intuition behind logarithm inequality: $1 - \frac1x \leq \log x \leq x-1$
- 2013-03-08 04:05:31
- Federico Magallanez
- 28190 View
- 26 Score
- 4 Answer
- Tags: inequality logarithms
4 Answered Questions
[SOLVED] lim sup inequality $\limsup ( a_n b_n ) \leq \limsup a_n \limsup b_n $
- 2012-02-25 03:21:38
- August
- 16344 View
- 15 Score
- 4 Answer
- Tags: real-analysis inequality limsup-and-liminf
1 Answered Questions
[SOLVED] Could this approximation be made simpler ? Solve $n!=a^n 10^k$
- 2015-06-21 08:08:13
- Claude Leibovici
- 1257 View
- 15 Score
- 1 Answer
- Tags: inequality numerical-methods approximation factorial lambert-w
2 Answered Questions
[SOLVED] If $\sigma_n=\frac{s_1+s_2+\cdots+s_n}{n}$ then $\operatorname{{lim sup}}\sigma_n \leq \operatorname{lim sup} s_n$
- 2012-09-09 13:21:18
- Sayantan
- 1660 View
- 14 Score
- 2 Answer
- Tags: real-analysis sequences-and-series inequality limsup-and-liminf
4 Answered Questions
[SOLVED] Showing the inequality $|\alpha + \beta|^p \leq 2^{p-1}(|\alpha|^p + |\beta|^p)$
- 2012-05-09 19:10:43
- harlekin
- 8890 View
- 16 Score
- 4 Answer
- Tags: calculus real-analysis functional-analysis inequality
6 Answered Questions
[SOLVED] Proving : $ \bigl(1+\frac{1}{n+1}\bigr)^{n+1} \gt (1+\frac{1}{n})^{n} $
- 2011-09-15 19:06:43
- Quixotic
- 2242 View
- 36 Score
- 6 Answer
- Tags: algebra-precalculus inequality
5 Answered Questions
[SOLVED] How to prove $\text{Rank}(AB)\leq \min(\text{Rank}(A), \text{Rank}(B))$?
- 2011-07-02 07:03:41
- Maysam
- 53957 View
- 30 Score
- 5 Answer
- Tags: linear-algebra matrices inequality matrix-rank
6 Answered Questions
[SOLVED] How to prove $a^2 + b^2 + c^2 \ge ab + bc + ca$?
- 2011-09-15 19:17:12
- Paul Manta
- 3409 View
- 12 Score
- 6 Answer
- Tags: algebra-precalculus inequality
5 Answered Questions
[SOLVED] Proving the AM-GM inequality for 2 numbers $\sqrt{xy}\le\frac{x+y}2$
- 2011-09-15 19:43:22
- Steve
- 2970 View
- 11 Score
- 5 Answer
- Tags: algebra-precalculus inequality means
7 Answered Questions
[SOLVED] Show that if $n>2$, then $(n!)^2>n^n$.
- 2014-01-16 15:49:08
- Hawk
- 2825 View
- 6 Score
- 7 Answer
- Tags: inequality exponentiation factorial faq