The combined Shepard-Abel-Goncharov univariate operator
We extend the Shepard operator by combining it with the Abel-Goncharov univariate operator in order to increase the degree of exactness and to use some specific functionals. We study this combined operator and give some of its properties. We introduce the corresponding interpolation formula and stud...
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| Format: | Article |
| Language: | English |
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Publishing House of the Romanian Academy
2003-02-01
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| Series: | Journal of Numerical Analysis and Approximation Theory |
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| Online Access: | https://www.ictp.acad.ro/jnaat/journal/article/view/730 |
| Summary: | We extend the Shepard operator by combining it with the Abel-Goncharov univariate operator in order to increase the degree of exactness and to use some specific functionals. We study this combined operator and give some of its properties. We introduce the corresponding interpolation formula and study its remainder term. |
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| ISSN: | 2457-6794 2501-059X |