Fitting functions of Jackson type for three-dimensional data

Navascués, M.A. (Universidad de Zaragoza) ; Sebastián, M.V.

Resumen: We study some procedures for the approximation of three-dimensional data on a grid with a hypothesis of periodicity. The first part proposes a generalization of a discrete periodic approximation defined by Dunham Jackson. The functions used have the advantage of owning an analytical explicit expression in terms of the samples (specific values) of the original function or data. In the second part, we describe a continuous approximation function for the same problem, defined through an integral. Some results of the rate of convergence and bounds of the approximation error are presented, with the single hypothesis of Hölder continuity or continuity of the original function.

Idioma: Inglés

DOI: 10.1080/00207160.2018.1458099

Año: 2020

Publicado en: International journal of computer mathematics 97, 1-2 (2020), 157 - 174
ISSN: 0020-7160

Factor impacto JCR: 1.931 (2020)

Categ. JCR: MATHEMATICS, APPLIED rank: 81 / 265 = 0.306 (2020) - Q2 - T1

Factor impacto SCIMAGO: 0.547 - Applied Mathematics (Q2) - Computer Science Applications (Q2) - Computational Theory and Mathematics (Q2)

Financiación: info:eu-repo/grantAgreement/ES/UZ/CUD2013-05
Financiación: info:eu-repo/grantAgreement/ES/UZ/CUD2015-05

Tipo y forma: Artículo (PostPrint)

Área (Departamento): Área Matemática Aplicada (Dpto. Matemática Aplicada)