Please use this identifier to cite or link to this item: http://hdl.handle.net/1959.13/933043

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Title
Lp norms and the sinc function
Author/Creator
Borwein, David;  Borwein, Jonathan M.;  Leonard, Isaac E.
Institution
The University of Newcastle. Faculty of Science & Information Technology, School of Mathematical and Physical Sciences
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.
Relation
American Mathematical Monthly Vol. 117, Issue 6, p. 528-539
Relation
http://www.maa.org/pubs/monthly_junjul10_toc.html
Date
2010
Publisher
Mathematical Association of America
Keyword(s)
p-norm;  sinc function;  transformation;  approximation theory
Resource Type
journal article
Identifier
http://hdl.handle.net/1959.13/933043
Identifier
ISSN:0002-9890
Reviewed
Reviewed
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Subject
"American Mathematical Monthly"
 
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