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Fractals

Article . 2016 . Peer-reviewed

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Fractals

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BOX DIMENSIONS OF α-FRACTAL FUNCTIONS

descriptionPublicationkeyboard_double_arrow_right Article 30 Aug 2016Publisher:World Scientific Pub Co Pte LtJournal:Fractals, volume 24, page 1,650,037 (issn: 0218-348X, eissn: 1793-6543,

Authors: M. A. Navascués; M. Guru Prem Prasad; Md. Nasim Akhtar;

doi: 10.1142/s0218348x16500377

BOX DIMENSIONS OF α-FRACTAL FUNCTIONS

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Abstract

The box dimension of the graph of non-affine, continuous, nowhere differentiable function [Formula: see text] which is a fractal analogue of a continuous function [Formula: see text] corresponding to a certain iterated function system (IFS), is investigated in the present paper. The estimates for box dimension of the graph of [Formula: see text]-fractal function [Formula: see text] for equally spaced as well as arbitrary data sets are found.

Related Organizations

Indian Institute of Technology Guwahati
India
University of Zaragoza
Spain

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