Peano kernels of non-integer order (Q1368791)
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scientific article; zbMATH DE number 1068008
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Peano kernels of non-integer order |
scientific article; zbMATH DE number 1068008 |
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Peano kernels of non-integer order (English)
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1 February 1998
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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.
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error bounds
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fractional calculus
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Peano kernels
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