doi:10.1016/j.cam.2018.08.003engNavascués, M.A.Jha, S.Chand, A.K.B.Sebastián, M.V.Generalized trigonometric interpolationART-2019-108579This 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.2019http://zaguan.unizar.es/record/7970210.1016/j.cam.2018.08.003http://zaguan.unizar.es/record/79702oai:zaguan.unizar.es:79702info:eu-repo/grantAgreement/ES/UZ/CUD2015-05info:eu-repo/grantAgreement/ES/UZ/CUD2017-03Journal of Computational and Applied Mathematics 354 (2019), 152-162by-nc-ndhttp://creativecommons.org/licenses/by-nc-nd/3.0/es/info:eu-repo/semantics/openAccess