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L_p norms and the sinc function

Borwein, David and Borwein, Jonathan M. and Leonard, Isaac E. (2010) L_p norms and the sinc function. American Mathematical Monthly, 117 (6). pp. 528-539.

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    Abstract

    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.

    Item Type: Article
    Uncontrolled Keywords: p-norm, sinc function, transformation, approximation theory
    Subjects: UNSPECIFIED
    Faculty: UNSPECIFIED
    Depositing User: Dr David Allingham
    Date Deposited: 28 Sep 2012 12:05
    Last Modified: 05 Jan 2015 15:46
    URI: https://docserver.carma.newcastle.edu.au/id/eprint/1225

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