Peano kernels of non-integer order
type: Item
instance of: scholarly article
title: Peano kernels of non-integer order
zbMATH Open document ID: 0880.41022
DOI: 10.4171/ZAA/787
published in: Zeitschrift für Analysis und ihre Anwendungen
publication date: 1998-02-01T00:00:00Z
review text: Summary: 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.
Mathematics Subject Classification ID: 41A55
Mathematics Subject Classification ID: 26A33
zbMATH DE Number: 1068008
zbMATH Keywords: error bounds
zbMATH Keywords: fractional calculus
zbMATH Keywords: Peano kernels
author: Kai Diethelm
MaRDI profile type: Publication
cites work: Q3681889
cites work: Q3900444
cites work: Q3141895
cites work: Q5723322
full work available at URL: https://doi.org/10.4171/zaa/787
OpenAlex ID: W1976916203
description: scientific article; zbMATH DE number 1068008