108583 20211201131442.0 doi 10.1142/S0218348X20501364 sideral 122538 ART-2020-122538 eng Navascués, M.A. Universidad de Zaragoza (orcid)0000-0003-4847-0493 Multivariate Affine Fractal Interpolation 2020 Fractal interpolation functions capture the irregularity of some data very effectively in comparison with the classical interpolants. They yield a new technique for fitting experimental data sampled from real world signals, which are usually difficult to represent using the classical approaches. The affine fractal interpolants constitute a generalization of the broken line interpolation, which appears as a particular case of the linear self-affine functions for specific values of the scale parameters. We study the p convergence of this type of interpolants for 1 = p < 8 extending in this way the results available in the literature. In the second part, the affine approximants are defined in higher dimensions via product of interpolation spaces, considering rectangular grids in the product intervals. The associate operator of projection is considered. Some properties of the new functions are established and the aforementioned operator on the space of continuousfunctions defined on a multidimensional compact rectangle is studied. Access copy available to the general public Unrestricted info:eu-repo/semantics/openAccess All rights reserved http://www.europeana.eu/rights/rr-f/ 3.665 2020 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS 19 / 108 = 0.176 2020 Q1 T1 MULTIDISCIPLINARY SCIENCES 23 / 73 = 0.315 2020 Q2 T1 0.654 2020 Applied Mathematics 2020 Q1 Multidisciplinary 2020 Q1 Modeling and Simulation 2020 Q1 Geometry and Topology 2020 Q1 info:eu-repo/semantics/article info:eu-repo/semantics/acceptedVersion Katiyar, S.K. Chand, A.K.B. 2005 595 Universidad de Zaragoza Dpto. Matemática Aplicada Área Matemática Aplicada 28, 7 (2020), [14 pp] Fractals-Complex Geom. Patterns Scaling Nat. Soc. Fractals 0218-348X 5335039 http://zaguan.unizar.es/record/108583/files/texto_completo.pdf Postprint 773582 http://zaguan.unizar.es/record/108583/files/texto_completo.jpg?subformat=icon icon Postprint oai:zaguan.unizar.es:108583 articulos driver 2021-12-01-12:16:03 ARTICLE