Results 11 to 20 of about 2,294 (185)
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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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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Mathematics, 2022 In order to further research the relationship between fractals and complicated networks in terms of self-similarity, the uniform convergence property of the sequence of fractal interpolation functions which can generate self-similar graphics through ...
Xuezai Pan, Xudong Shang
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Soil parameters in terms of entropy coordinates [PDF]
E3S Web of Conferences, 2023 In the ongoing research, an approximate, grading entropy based, advanced interpolation method is applied to establish empirical functions between the grading curves and the model parameters of sands. The space of the grain size distribution curves with N
Imre Emőke +6 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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Prediction of gold price pattern by fractal interpolation [PDF]
ریاضی و جامعه, 2023 Analyzing and examining the price trend of an asset is a fundamental step in managing investment risk on that asset. Therefore, in markets, predicting the price trend of an asset is of special interest to traders and even plays a crucial role in a ...
Hamid Reza Yoosefzadeh, Azam Fotovat
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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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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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