Non-polynomial divided differences and B-spline functions
| Autor: | Çetin Dişibüyük, Fatma Zürnacı |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2019 |
| Předmět: |
Pure mathematics
Recurrence relation Generalization Applied Mathematics B-spline 010103 numerical & computational mathematics Leibniz formula for π 01 natural sciences 010101 applied mathematics Computational Mathematics 0101 mathematics Divided differences Symmetry (geometry) Power function Mathematics Interpolation |
| Popis: | Starting with the interpolation problem, we define non-polynomial divided differences recursively as a generalization of classical divided differences. We also derive the identities and the properties of these non-polynomial divided differences such as symmetry and Leibniz formula which is a main tool in the derivation of B-spline recurrence relations. Defining a novel variant of the truncated power function, we express non-polynomial B-splines explicitly in terms of non-polynomial divided differences of this truncated power function. (C) 2018 Elsevier B.V. All rights reserved. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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