Search Results
| Search type | Search syntax |
|---|---|
| Tags | [tag] |
| Exact | "words here" |
| Author |
user:1234 user:me (yours) |
| Score |
score:3 (3+) score:0 (none) |
| Answers |
answers:3 (3+) answers:0 (none) isaccepted:yes hasaccepted:no inquestion:1234 |
| Views | views:250 |
| Code | code:"if (foo != bar)" |
| Sections |
title:apples body:"apples oranges" |
| URL | url:"*.example.com" |
| Saves | in:saves |
| Status |
closed:yes duplicate:no migrated:no wiki:no |
| Types |
is:question is:answer |
| Exclude |
-[tag] -apples |
| For more details on advanced search visit our help page | |
Results tagged with inequalities
Search options not deleted
user 169474
for questions involving inequalities, upper and lower bounds.
12
votes
Trigonometric inequality
I give a way that may work for odd numbers. This is too long for a comment.
First, the quantity
$$\cos\Big(\frac{2m\pi}{p}\Big)+\cos\Big(\frac{2n\pi}{q}\Big)
= 2\cos\Big(\pi\Big(\frac{m}{p}+\frac{n}{ …
- 3,808
2
votes
Accepted
Positive, monotone decreasing function, with derivative limit in 0 equal to ∞ submultiplicat...
Define $f$ on $]0,e^{-2}]$ by
$$f(x) = \frac{1}{-\sqrt{x}\ln(x)}.$$
Then $f$ is positive, decreasing since
$$\frac{\mathrm{d}}{\mathrm{d}x}\big(-\sqrt{x}\ln(x)\big) = \frac{-\ln(x)-2}{2\sqrt{x}} \ge 0 …
- 3,808
1
vote
Accepted
Equality cases in a certain case of Jensen's inequality
Since the distribution of the r.v. $X$ is zero-mean, $X$ integrable (hence also the copy $Y$).
The equality is attained iff the distribution of $X$ is carried by at most two points.
Indeed, by indepen …
- 3,808