Fractal interpolation:a sequential approach

作     者：N.Vijender M.A.Navascus N.Vijender;M.A.Navascués

作者机构：Department of MathematicsVisvesvaraya National Institute of Technology NagpurNagpur 440010India Departamento de Matem´atica AplicadaEscuela de Ingenier´ıa y ArquitecturaUniversidad de ZaragozaZaragoza 50018Spain 

出 版 物：《Applied Mathematics(A Journal of Chinese Universities)》 (高校应用数学学报（英文版）（B辑）)

年 卷 期：2021年第36卷第3期

页      面：330-341页

核心收录：

学科分类：07[理学] 070102[理学-计算数学] 0701[理学-数学] 

基　　金：Supported by Council of Scienti c&Industrial Research(CSIR) India(25(0290)/18/EMR-II) 

主　　题：fractal interpolation convergence sequence of operators constrained-FIFs fractal splines 

摘      要：Fractal interpolation is a modern technique to fit and analyze scientific *** develop a new class of fractal interpolation functions which converge to a data generating(original)function for any choice of the scaling ***,our method offers an alternative to the existing fractal interpolation functions(FIFs).We construct a sequence of-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 *** particular,the constrained interpolation discussed herein includes a method to obtain fractal functions that preserve positivity inherent in the given *** existence of Cr--FIFs is *** identify suitable conditions on the associated scaling factors so that-FIFs preserve r-convexity in addition to the Cr-smoothness of original function.