Results 21 to 30 of about 5,343,237 (227)
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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Uniform Continuity of Fractal Interpolation Function [PDF]
Mathematical Problems in Engineering, 2020 In order to research analysis properties of fractal interpolation function generated by the iterated function system defined by affine transformation, the continuity of fractal interpolation function is proved by the continuous definition of function and the uniform continuity of fractal interpolation function is proved by the definition of uniform ...
Xuezai Pan, Minggang Wang, Xudong Shang
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Fractal Dimension of Fractal Functions on the Real Projective Plane
Fractal and Fractional, 2023 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 ...
Alamgir Hossain +2 more
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A Concretization of an Approximation Method for Non-Affine Fractal Interpolation Functions
Mathematics, 2021 The present paper concretizes the models proposed by S. Ri and N. Secelean. S. Ri proposed the construction of the fractal interpolation function (FIF) considering finite systems consisting of Rakotch contractions, but produced no concretization of the ...
Alexandra Băicoianu +2 more
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Improve Fuzzy Inventory Model of Fractal Interpolation with Vertical Scaling Factor
Science and Technology Indonesia, 2023 The inventory model is used to determine the optimal inventory of a product. In certain cases, parameters in the inventory model are uncertain. Fractal interpolation techniques can be used to overcome parameter with uncertainty.
Eka Susanti +4 more
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ETNA - Electronic Transactions on Numerical Analysis, 2022 The natural kinship between classical theories of interpolation and approximation is well explored. In contrast to this, the interrelation between interpolation and approximation is subtle and this duality is relatively obscure in the context of fractal interpolation. The notion of $α$-fractal function provides a proper foundation for the approximation
Pandey, Kshitij Kumar +1 more
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Parameter Identification of Bivariate Fractal Interpolation Surfaces by Using Convex Hulls
Mathematics, 2023 The scope of this article is to identify the parameters of bivariate fractal interpolation surfaces by using convex hulls as bounding volumes of appropriately chosen data points so that the resulting fractal (graph of) function provides a closer fit ...
Vasileios Drakopoulos +3 more
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Energy and Laplacian of fractal interpolation functions [PDF]
Applied Mathematics-A Journal of Chinese Universities, 2017 In this paper, we first characterize the finiteness of fractal interpolation functions (FIFs) on post critical finite self-similar sets. Then we study the Laplacian of FIFs with uniform vertical scaling factors on Sierpinski gasket (SG). As an application, we prove that the solution of the following Dirichlet problem on SG is an FIF with uniform ...
Li, Xiaohui, Ruan, Huojun
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Fractal interpolation: a sequential approach [PDF]
, 2021 Fractal interpolation is a modern technique to fit and analyze scientific data. We develop a new class of fractal interpolation functions which converge to a data generating (original) function for any choice of the scaling factors.
Vijender N., Navascués M.A.
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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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