Peano Differentiation via Integration
Russell A. Gordon
Source: Real Anal. Exchange Volume 34, Number 1 (2008), 147-156.
Abstract
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.
Primary Subjects: 26A24
Keywords: Peano derivative ; Legendre polynomial
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