BOX DIMENSIONS OF α-FRACTAL FUNCTIONS-Reference-Cited by-同舟云学术

BOX DIMENSIONS OF α-FRACTAL FUNCTIONS

Published:2016-08-30 Issue:03 Volume:24 Page:1650037
ISSN:0218-348X
Container-title:Fractals
language:en
Short-container-title:Fractals

Author:

AKHTAR MD. NASIM¹,PRASAD M. GURU PREM¹,NAVASCUÉS M. A.²

Affiliation:

1. Department of Mathematics, Indian Institute of Technology Guwahati, Guwahati 781039, Assam, India

2. Departamento de Matemática Aplicada, Universidad de Zaragoza, Spain

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.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Geometry and Topology,Modeling and Simulation

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218348X16500377

Reference24 articles.

1. Fractal functions and interpolation

2. Hidden Variable Fractal Interpolation Functions

3. Fractal Polynomial Interpolation

4. Fundamental Sets of Fractal Functions

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