Please use this identifier to cite or link to this item: http://hdl.handle.net/2080/3587
Title: A note on fractal dimension for a class of fractal interpolation functions
Authors: Jha, Sangita
Verma, Saurabh
Keywords: Fractal interpolation functions
iterated function systems
Issue Date: Oct-2021
Citation: Fall Western Sectional Meeting, AMS Sectional Meeting, Virtual Meeting on , Albuquerque, New Mexico, 23-24October 2021
Abstract: The fractal interpolation functions with appropriate iterated function systems (IFSs) provide a method to perturb and approximate a continuous function on a compact interval I. This method produces a class of functions f α ∈ C(I), where α is a scale parameter. As essential parameters of the IFS, the scaling factors have important consequences in the properties of the function f α. Also, the interpolant or a certain derivative of it may have a non-integer box-counting dimension depending on the scaling factors magnitude. In this talk, we discuss an exact estimation of box dimension of α-fractal functions under suitable hypotheses on IFSs.
Description: Copyright of this paper is with proceedings publisher
URI: http://hdl.handle.net/2080/3587
Appears in Collections:Conference Papers

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