Fractal functions with function scaling factors as solutions of (0, 4) lacunary interpolation problem. (December 2015)

• Record Type: Journal Article
• Authors: Viswanathan, P.; Navascués, M.A.
• Is Part Of: Chaos, solitons and fractals. Volume 81:Part A(2015)
• Page Start: 98
• Page End: 102
• Publication Date: 2015-12
• Subjects: Fractal function -- Function scaling factors -- Lacunary interpolation -- Approximation order -- Holladay functional -- Convex optimization; 28A80 -- 26A18 -- 41A05 -- 41A15 -- 41A25; Chaotic behavior in systems -- Periodicals; Solitons -- Periodicals; Fractals -- Periodicals; Chaotic behavior in systems; Fractals; Solitons; Periodicals; 003.7
• DOI: 10.1016/j.chaos.2015.08.028
• Languages: English
• ISSNs: 0960-0779

Abstract

Abstract: This article aims to present a family of fractal functions that provides solutions to a (0, 4) lacunary interpolation problem based on methodology of fractal perturbation with function scaling factors. Approximation orders for the proposed class of fractal interpolants and their derivatives are provided. With an eye towards "optimal" perturbation, a strategy to select suitable constant scaling factors is outlined.