- Title
- Lp norms and the sinc function
- Creator
- Borwein, David; Borwein, Jonathan M.; Leonard, Isaac E.
- Relation
- American Mathematical Monthly Vol. 117, Issue 6, p. 528-539
- Relation
- http://www.maa.org/pubs/monthly_junjul10_toc.html
- Publisher
- Mathematical Association of America
- Resource Type
- journal article
- Date
- 2010
- Description
- It’s everywhere! It’s everywhere! … In this note we give elementary proofs of some of the striking asymptotic properties of the p-norm of the ubiquitous sinc function. Based on experimental evidence we conjecture some enticing further properties of the p-norm as a function of p. See, for example, http://www.carma.newcastle.edu.au/~jb616/oscillatory.pdf.
- Subject
- p-norm; sinc function; transformation; approximation theory
- Identifier
- http://hdl.handle.net/1959.13/933043
- Identifier
- uon:11528
- Identifier
- ISSN:0002-9890
- Language
- eng
- Full Text
- Reviewed
- Hits: 2259
- Visitors: 3371
- Downloads: 649
| Thumbnail | File | Description | Size | Format | |||
|---|---|---|---|---|---|---|---|
| View Details Download | ATTACHMENT01 | Publisher version (open access) | 3 MB | Adobe Acrobat PDF | View Details Download |