Fractal Dimension of Fractal Functions on the Real Projective Plane

Author:

Hossain Alamgir1,Akhtar Md. Nasim1,Navascués María A.1ORCID

Affiliation:

1. Department of Mathematics, Presidency University, 86/1 College Street, Kolkata 700 073, West Bengal, India

Abstract

In this article, we consider an iterated functions system on the non-Euclidean real projective plane which has a linear structure. Then, we study the fractal dimension of the associated curve as a subset of the projective space and like a set of the Euclidean space. At the end, we initiate a dual real projective iterated function system and pose an open problem.

Funder

Council of Scientific & Industrial Research

Department of Science and Technology

Publisher

MDPI AG

Subject

Statistics and Probability,Statistical and Nonlinear Physics,Analysis

Reference20 articles.

1. Mandelbrot, B. (1982). The Fractal Geometry of Nature, W. H. Freeman and Co.

2. Fractals and self similarity;Hutchinson;Indiana Univ. Math. J.,1981

3. Fractal functions and interpolation;Barnsley;Constr. Approx.,1986

4. A fractal approximation to periodicity;Fractals,2006

5. Hidden variable fractal interpolation functions;Barnsley;SIAM J. Math. Anal.,1989

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