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2008/2009 Peano Differentiation via Integration
Russell A. Gordon
Real Anal. Exchange 34(1): 147-156 (2008/2009).


In a little known paper, Haslam-Jones defined a collection of higher order derivatives in terms of an integral and Legendre polynomials. One member of this collection is equivalent to the higher order Peano derivatives. The purpose of this paper is to present a more direct proof of this equivalence.


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Russell A. Gordon. "Peano Differentiation via Integration." Real Anal. Exchange 34 (1) 147 - 156, 2008/2009.


Published: 2008/2009
First available in Project Euclid: 19 May 2009

zbMATH: 1196.26007
MathSciNet: MR2527129

Primary: 26A24

Keywords: Legendre polynomial , Peano derivative

Rights: Copyright © 2008 Michigan State University Press

Vol.34 • No. 1 • 2008/2009
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