84215 20191212102141.0 doi 10.1142/S0218348X18500792 sideral 108578 ART-2018-108578 eng (orcid)0000-0003-4847-0493 Navascués, M.A. Universidad de Zaragoza Fractal approximation of Jackson type for periodic phenomena 2018 Access copy available to the general public Unrestricted The reconstruction of an unknown function providing a set of Lagrange data can be approached by means of fractal interpolation. The power of that methodology allows us to generalize any other interpolant, both smooth and nonsmooth, but the important fact is that this technique provides one of the few methods of nondifferentiable interpolation. In this way, it constitutes a functional model for chaotic processes. This paper studies a generalization of an approximation formula proposed by Dunham Jackson, where a wider range of values of an exponent of the basic trigonometric functions is considered. The trigonometric polynomials are then transformed in close fractal functions that, in general, are not smooth. For suitable election of this parameter, one obtains better conditions of convergence than in the classical case: the hypothesis of continuity alone is enough to ensure the convergence when the sampling frequency is increased. Finally, bounds of discrete fractal Jackson operators and their classical counterparts are proposed. info:eu-repo/semantics/openAccess All rights reserved http://www.europeana.eu/rights/rr-f/ 2.971 2018 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS 15 / 105 = 0.143 2018 Q1 T1 MULTIDISCIPLINARY SCIENCES 18 / 69 = 0.261 2018 Q2 T1 0.556 2018 Applied Mathematics 2018 Q1 Multidisciplinary 2018 Q1 Modeling and Simulation 2018 Q1 Geometry and Topology 2018 Q1 info:eu-repo/semantics/article info:eu-repo/semantics/acceptedVersion Jha, S. Chand, A.K.B. (orcid)0000-0002-0477-835X Sebastián, M.V. 2005 595 Universidad de Zaragoza Dpto. Matemática Aplicada Área Matemática Aplicada 26, 5 (2018), 1850079 [14 pp] Fractals-Complex Geom. Patterns Scaling Nat. Soc. FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY 0218-348X 311289 http://zaguan.unizar.es/record/84215/files/texto_completo.pdf Postprint 37795 http://zaguan.unizar.es/record/84215/files/texto_completo.jpg?subformat=icon icon Postprint oai:zaguan.unizar.es:84215 articulos driver 2019-12-12-10:12:15 ARTICLE