000151162 001__ 151162 000151162 005__ 20250227101504.0 000151162 0247_ $$2doi$$a10.1007/s11766-021-3635-7 000151162 0248_ $$2sideral$$a125806 000151162 037__ $$aART-2021-125806 000151162 041__ $$aeng 000151162 100__ $$aVijender N. 000151162 245__ $$aFractal interpolation: a sequential approach 000151162 260__ $$c2021 000151162 5060_ $$aAccess copy available to the general public$$fUnrestricted 000151162 5203_ $$aFractal interpolation is a modern technique to fit and analyze scientific data. We develop a new class of fractal interpolation functions which converge to a data generating (original) function for any choice of the scaling factors. Consequently, our method offers an alternative to the existing fractal interpolation functions (FIFs). We construct a sequence of a-FIFs using a suitable sequence of iterated function systems (IFSs). Without imposing any condition on the scaling vector, we establish constrained interpolation by using fractal functions. In particular, the constrained interpolation discussed herein includes a method to obtain fractal functions that preserve positivity inherent in the given data. The existence of Cr- a- FIFs is investigated. We identify suitable conditions on the associated scaling factors so that a-FIFs preserve r-convexity in addition to the Cr- smoothness of original function. © 2021, Editorial Committee of Applied Mathematics. 000151162 540__ $$9info:eu-repo/semantics/openAccess$$aby$$uhttp://creativecommons.org/licenses/by/3.0/es/ 000151162 590__ $$a0.657$$b2021 000151162 591__ $$aMATHEMATICS, APPLIED$$b244 / 267 = 0.914$$c2021$$dQ4$$eT3 000151162 592__ $$a0.177$$b2021 000151162 593__ $$aApplied Mathematics$$c2021$$dQ4 000151162 594__ $$a1.1$$b2021 000151162 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/publishedVersion 000151162 700__ $$0(orcid)0000-0003-4847-0493$$aNavascués M.A.$$uUniversidad de Zaragoza 000151162 7102_ $$12005$$2595$$aUniversidad de Zaragoza$$bDpto. Matemática Aplicada$$cÁrea Matemática Aplicada 000151162 773__ $$g36, 3 (2021), 330-341$$pAPPLIED MATHEMATICS-A JOURNAL OF CHINESE UNIVERSITIES SERIES B$$tAPPLIED MATHEMATICS-A JOURNAL OF CHINESE UNIVERSITIES SERIES B$$x1005-1031 000151162 8564_ $$s679823$$uhttps://zaguan.unizar.es/record/151162/files/texto_completo.pdf$$yVersión publicada 000151162 8564_ $$s1702640$$uhttps://zaguan.unizar.es/record/151162/files/texto_completo.jpg?subformat=icon$$xicon$$yVersión publicada 000151162 909CO $$ooai:zaguan.unizar.es:151162$$particulos$$pdriver 000151162 951__ $$a2025-02-27-09:26:38 000151162 980__ $$aARTICLE