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