79702 20250128150424.0 doi 10.1016/j.cam.2018.08.003 sideral 108579 ART-2019-108579 eng Navascués, M.A. Universidad de Zaragoza (orcid)0000-0003-4847-0493 Generalized trigonometric interpolation 2019 Access copy available to the general public Unrestricted This article proposes a generalization of the Fourier interpolation formula, where a wider range of the basic trigonometric functions is considered. The extension of the procedure is done in two ways: adding an exponent to the maps involved, and considering a family of fractal functions that contains the standard case. The studied interpolation converges for every continuous function, for a large range of the nodal mappings chosen. The error of interpolation is bounded in two ways: one theorem studies the convergence for Hölder continuous functions and other develops the case of merely continuous maps. The stability of the approximation procedure is proved as well. info:eu-repo/grantAgreement/ES/UZ/CUD2015-05 info:eu-repo/grantAgreement/ES/UZ/CUD2017-03 info:eu-repo/semantics/openAccess by-nc-nd http://creativecommons.org/licenses/by-nc-nd/3.0/es/ 2.037 2019 MATHEMATICS, APPLIED 43 / 260 = 0.165 2019 Q1 T1 0.87 2019 Computational Mathematics 2019 Q2 Applied Mathematics 2019 Q2 info:eu-repo/semantics/article info:eu-repo/semantics/acceptedVersion Jha, S. Chand, A.K.B. Sebastián, M.V. (orcid)0000-0002-0477-835X 2005 595 Universidad de Zaragoza Dpto. Matemática Aplicada Área Matemática Aplicada 354 (2019), 152-162 J. comput. appl. math. Journal of Computational and Applied Mathematics 0377-0427 358521 http://zaguan.unizar.es/record/79702/files/texto_completo.pdf Postprint 1185132 http://zaguan.unizar.es/record/79702/files/texto_completo.jpg?subformat=icon icon Postprint oai:zaguan.unizar.es:79702 articulos driver 2025-01-28-15:02:21 ARTICLE