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 ca.classical-analysis-and-odes
Search options not deleted
user 27381
Special functions, orthogonal polynomials, harmonic analysis, ordinary differential equations (ODE's), differential relations, calculus of variations, approximations, expansions, asymptotics.
1
vote
1
answer
136
views
Concave functions of different behaviour in the neighbourhood of $0$ from the Shannon function
I'm looking for an example of a concave function $g \colon [0,1] \to \mathbb{R}$, $g(0)=0$ such that:
$$\liminf_{x\to 0^+}\frac{g(x)}{-x\ln x}\neq \limsup_{x\to 0^+}\frac{g(x)}{-x\ln x}.$$
Moreover, i …
- 51
1
vote
0
answers
127
views
Name for class of functions satisfying $\lim_{x\to 0^+}\lambda g(x)/g(\lambda x)>1$
I would like to ask whether is used some name for functions $g:A\to\mathbb{R}$, $A\subset \mathbb{R}$, for which $$\exists \lambda>1:\;\; \lim_{x\to 0^+}\frac{\lambda g(x)}{g(\lambda x)}>1.$$
- 51
0
votes
1
answer
134
views
Example of a concave function with $\lim_{x\to 0^+}\frac{g(x)}{-x\ln x}=\infty$ which fullfi...
I'm looking for the example of a concave function $g \colon [0,1] \mapsto \mathbb{R}$, with $g(0)=0$, for which
$\lim\limits_{x\to 0^+}\frac{g(x)}{-x\ln x}=\infty$, and
$\lim\limits_{x\to 0^+}\frac{\ …
- 51