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Peano kernels of non-integer order

  • We consider the representation of error functionals in numerical quadrature by the Peano kernel method. It is easily observed that the usual expressions for Peano kernels of order s still make sense if s is not a natural number. In this paper, we discuss how to interpret these Peano kernels, we state their main properties, and we compare them to the (classical) Peano kernels of integer order.

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Metadaten
Author:Kai Diethelm
DOI:https://doi.org/10.4171/zaa/787
Parent Title (German):Zeitschrift für Analysis und ihre Anwendungen
Document Type:Article
Language:English
Year of publication:1997
Release Date:2023/08/09
Volume:16
Issue:3
First Page:727
Last Page:738
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