000078819 001__ 78819 000078819 005__ 20250121144846.0 000078819 0247_ $$2doi$$a10.1080/00207160.2018.1458099 000078819 0248_ $$2sideral$$a109602 000078819 037__ $$aART-2020-109602 000078819 041__ $$aeng 000078819 100__ $$0(orcid)0000-0003-4847-0493$$aNavascués, M.A.$$uUniversidad de Zaragoza 000078819 245__ $$aFitting functions of Jackson type for three-dimensional data 000078819 260__ $$c2020 000078819 5060_ $$aAccess copy available to the general public$$fUnrestricted 000078819 5203_ $$aWe 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. 000078819 536__ $$9info:eu-repo/grantAgreement/ES/UZ/CUD2013-05$$9info:eu-repo/grantAgreement/ES/UZ/CUD2015-05 000078819 540__ $$9info:eu-repo/semantics/openAccess$$aAll rights reserved$$uhttp://www.europeana.eu/rights/rr-f/ 000078819 590__ $$a1.931$$b2020 000078819 591__ $$aMATHEMATICS, APPLIED$$b81 / 265 = 0.306$$c2020$$dQ2$$eT1 000078819 592__ $$a0.547$$b2020 000078819 593__ $$aApplied Mathematics$$c2020$$dQ2 000078819 593__ $$aComputer Science Applications$$c2020$$dQ2 000078819 593__ $$aComputational Theory and Mathematics$$c2020$$dQ2 000078819 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/acceptedVersion 000078819 700__ $$0(orcid)0000-0002-0477-835X$$aSebastián, M.V. 000078819 7102_ $$12005$$2595$$aUniversidad de Zaragoza$$bDpto. Matemática Aplicada$$cÁrea Matemática Aplicada 000078819 773__ $$g97, 1-2 (2020), 157 - 174$$pInt. j. comput. math.$$tInternational journal of computer mathematics$$x0020-7160 000078819 8564_ $$s1786121$$uhttps://zaguan.unizar.es/record/78819/files/texto_completo.pdf$$yPostprint 000078819 8564_ $$s58402$$uhttps://zaguan.unizar.es/record/78819/files/texto_completo.jpg?subformat=icon$$xicon$$yPostprint 000078819 909CO $$ooai:zaguan.unizar.es:78819$$particulos$$pdriver 000078819 951__ $$a2025-01-21-14:47:39 000078819 980__ $$aARTICLE