Results 11 to 20 of about 21,442 (219)
Non-Stationary Fractal Interpolation [PDF]
Mathematics, 2019 We introduce the novel concept of a non-stationary iterated function system by considering a countable sequence of distinct set-valued maps { F k } k ∈ N where each F k maps H ( X ) → H ( X ) and arises from an ...
Peter Massopust
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Bilinear Fractal Interpolation and Box Dimension
Journal of Approximation Theory, 2014 In the context of general iterated function systems (IFSs), we introduce bilinear fractal interpolants as the fixed points of certain Read-Bajraktarevi\'{c} operators.
Barnsley, Michael F. +1 more
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Local α-fractal interpolation function. [PDF]
Eur Phys J Spec Top, 2023 Constructions of the (global) fractal interpolation functions on standard function spaces got a lot of attention in the last centuries. Motivated by the newly introduced local fractal functions corresponding to a local iterated functions system which is the generalization of the traditional iterated functions system we construct the local non-affine α-
Banerjee A, Akhtar MN, Navascués MA.
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Smooth fractal interpolation [PDF]
Journal of Inequalities and Applications, 2006 Fractal methodology provides a general frame for the understanding of real-world phenomena. In particular, the classical methods of real-data interpolation can be generalized by means of fractal techniques. In this paper, we describe a procedure for the
Sebastián MV, Navascués MA
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MULTIVARIATE AFFINE FRACTAL INTERPOLATION [PDF]
Fractals, 2020 Fractal interpolation functions capture the irregularity of some data very effectively in comparison with the classical interpolants. They yield a new technique for fitting experimental data sampled from real world signals, which are usually difficult to represent using the classical approaches.
Navascués, M.A. +2 more
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Fractal and Fractional, 2022 In this study, the variable order fractional calculus of the hidden variable fractal interpolation function is explored. It extends the constant order fractional calculus to the case of variable order. The Riemann–Liouville and the Weyl–Marchaud variable
Valarmathi Raja, Arulprakash Gowrisankar
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THE CALCULUS OF BIVARIATE FRACTAL INTERPOLATION SURFACES [PDF]
Fractals, 2021 In this paper, we investigate partial integrals and partial derivatives of bivariate fractal interpolation functions (FIFs). We also prove that the mixed Riemann–Liouville fractional integral and derivative of order [Formula: see text], of bivariate FIFs are again bivariate interpolation functions corresponding to some iterated function system (IFS ...
SUBHASH CHANDRA, SYED ABBAS
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On the Bernstein Affine Fractal Interpolation Curved Lines and Surfaces
Axioms, 2020 In this article, firstly, an overview of affine fractal interpolation functions using a suitable iterated function system is presented and, secondly, the construction of Bernstein affine fractal interpolation functions in two and three dimensions is ...
Nallapu Vijender, Vasileios Drakopoulos
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Fractalization of Fractional Integral and Composition of Fractal Splines
Chaos Theory and Applications, 2023 The present study perturbs the fractional integral of a continuous function $f$ defined on a real compact interval, say $(\mathcal{I}^vf)$ using a family of fractal functions $(\mathcal{I}^vf)^\alpha$ based on the scaling parameter $\alpha$.
Gowrisankar Arulprakash
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A Note on Fractal Interpolation vs Fractal Regression [PDF]
Academia Letters, 2021 Fractals fascinates both academics and art lovers. They are a form of chaos. A key feature that distinguishes a fractal from other chaotic phenomena is the self-similarity. This is a property that consists of replicating a shape to smaller pieces of the whole.
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