78819 20250121144846.0 doi 10.1080/00207160.2018.1458099 sideral 109602 ART-2020-109602 eng Navascués, M.A. Universidad de Zaragoza (orcid)0000-0003-4847-0493 Fitting functions of Jackson type for three-dimensional data 2020 Access copy available to the general public Unrestricted 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. info:eu-repo/grantAgreement/ES/UZ/CUD2013-05 info:eu-repo/grantAgreement/ES/UZ/CUD2015-05 info:eu-repo/semantics/openAccess All rights reserved http://www.europeana.eu/rights/rr-f/ 1.931 2020 MATHEMATICS, APPLIED 81 / 265 = 0.306 2020 Q2 T1 0.547 2020 Applied Mathematics 2020 Q2 Computer Science Applications 2020 Q2 Computational Theory and Mathematics 2020 Q2 info:eu-repo/semantics/article info:eu-repo/semantics/acceptedVersion Sebastián, M.V. (orcid)0000-0002-0477-835X 2005 595 Universidad de Zaragoza Dpto. Matemática Aplicada Área Matemática Aplicada 97, 1-2 (2020), 157 - 174 Int. j. comput. math. International journal of computer mathematics 0020-7160 1786121 http://zaguan.unizar.es/record/78819/files/texto_completo.pdf Postprint 58402 http://zaguan.unizar.es/record/78819/files/texto_completo.jpg?subformat=icon icon Postprint oai:zaguan.unizar.es:78819 articulos driver 2025-01-21-14:47:39 ARTICLE