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On weighted average interpolation with cardinal splines
Citation
López-Salazar Codes, Jeronimo and Pérez Villalón, Gerardo (2017). On weighted average interpolation with cardinal splines. "Acta Applicandae Mathematicae", v. 152 (n. 1); pp. 73-82. ISSN 0167-8019. https://doi.org/10.1007/s10440-017-0112-7.
Description
| Title: | On weighted average interpolation with cardinal splines |
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| Author/s: |
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| Item Type: | Article |
| Título de Revista/Publicación: | Acta Applicandae Mathematicae |
| Date: | 28 July 2017 |
| ISSN: | 0167-8019 |
| Volume: | 152 |
| Subjects: | |
| Freetext Keywords: | Spline; cardinal interpolation; average sampling |
| Faculty: | E.T.S.I. y Sistemas de Telecomunicación (UPM) |
| Department: | Matemática Aplicada a las Tecnologías de la Información y las Comunicaciones |
| Creative Commons Licenses: | Recognition - No derivative works - Non commercial |
Abstract
Given a sequence of data {yn}n∈Z with polynomial growth and an odd number d, Schoenberg proved that there exists a unique cardinal spline f of degree d with polynomial growth such that f (n) = yn for all n ∈ Z. In this work, we show that this result also holds if we consider weighted average data f ∗ h(n) = yn, whenever the average function h satisfies some light conditions. In particular, the interpolation result is valid if we consider cellaverage data n+a n−a f (x)dx = yn with 0 < a ≤ 1/2. The case of even degree d is also studied.
More information
| Item ID: | 53473 |
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| DC Identifier: | https://oa.upm.es/53473/ |
| OAI Identifier: | oai:oa.upm.es:53473 |
| DOI: | 10.1007/s10440-017-0112-7 |
| Official URL: | https://link.springer.com/article/10.1007/s10440-017-0112-7 |
| Deposited by: | Memoria Investigacion |
| Deposited on: | 31 Jan 2019 15:03 |
| Last Modified: | 31 Jan 2019 15:03 |
