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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 |
Files in This Item:
File | Description | Size | Format | |
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AMS-Meeting_SJha_2021_note.pdf | Presentation | 245.07 kB | Adobe PDF | View/Open |
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