000069941 001__ 69941 000069941 005__ 20180418133505.0 000069941 0248_ $$2sideral$$a105193 000069941 037__ $$aART-2018-105193 000069941 041__ $$aeng 000069941 100__ $$0(orcid)0000-0003-4847-0493$$aNavascués Sanagustín, María Antonia$$uUniversidad de Zaragoza 000069941 245__ $$aFractal approximants on the circle 000069941 260__ $$c2018 000069941 5060_ $$aAccess copy available to the general public$$fUnrestricted 000069941 5203_ $$aA methodology based on fractal interpolation functions is used in this work to define new real maps on the circle generalizing the classical ones. The power of fractal methodology allows us to generalize any other interpolant, both smooth and non-smooth, but the important fact is that this technique provides one of the few methods of non-differentiable interpolation. In this way, it constitutes a func- tional model for chaotic processes. In this article we study a generalization of some approximation formulae proposed by Dunham Jackson both in classical and fractal cases. 000069941 540__ $$9info:eu-repo/semantics/openAccess$$aby-nc-nd$$uhttp://creativecommons.org/licenses/by-nc-nd/3.0/es/ 000069941 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/publishedVersion 000069941 700__ $$aJha, Sangita 000069941 700__ $$aChand, A.K. Bedabrata 000069941 700__ $$0(orcid)0000-0002-0477-835X$$aSebastián Guerrero, María Victoria 000069941 7102_ $$12005$$2595$$aUniversidad de Zaragoza$$bDepartamento de Matemática Aplicada$$cMatemática Aplicada 000069941 773__ $$g3 (2018), 343-353$$pChaotic modeling simul.$$tChaotic modeling and simulation$$x2241-0503 000069941 85641 $$uhttp://www.cmsim.eu/papers_pdf/july_2018_papers/July_9_2018_CMSIM_Navascues_et_al_343-353.pdf$$zTexto completo de la revista 000069941 8564_ $$s374668$$uhttps://zaguan.unizar.es/record/69941/files/texto_completo.pdf$$yVersión publicada 000069941 8564_ $$s65367$$uhttps://zaguan.unizar.es/record/69941/files/texto_completo.jpg?subformat=icon$$xicon$$yVersión publicada 000069941 909CO $$ooai:zaguan.unizar.es:69941$$particulos$$pdriver 000069941 951__ $$a2018-04-18-12:32:00 000069941 980__ $$aARTICLE