Results 181 to 190 of about 1,271 (204)
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A TYPE OF FRACTAL INTERPOLATION FUNCTIONS AND THEIR FRACTIONAL CALCULUS
Fractals, 2016Combine Chebyshev systems with fractal interpolation, certain continuous functions have been approximated by fractal interpolation functions unanimously. Local structure of these fractal interpolation functions (FIF) has been discussed. The relationship between order of Riemann–Liouville fractional calculus and Box dimension of FIF has been ...
Liang, Yong-Shun, Zhang, Qi
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Hidden Variable Fractal Interpolation Functions
SIAM Journal on Mathematical Analysis, 1989Interpolation functions $f:[0,1] \to \mathbb{R}$ of the following nature are constructed. Given data \[ \left\{ {\left( {t_n ,x_n } \right) \in [0,1] \times \mathbb{R}:n = 0,1,2, \cdots ,N} \right\}\] with $0 = t_0 < t_1 < \cdots
M. F. Barnsley +3 more
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Fractal Interpolation Function for Countable Data
2020The problem of extending the theory of an iterated function system carried over to an infinite and countable iterated function system has been widely studied in the last decades. Such an extension is applied in the theory of sampling and reconstruction where a countable iterated function system contributes to a better approximation.
Santo Banerjee +2 more
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Node insertion in Coalescence Fractal Interpolation Function
Chaos, Solitons & Fractals, 2013zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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A class of functional equation and fractal interpolation functions
Applied Mathematics-A Journal of Chinese Universities, 1999The author considers the functional equation \[ L(\psi_{\omega})=\sum_{j=1}^{\infty} a_j L(\psi_{\sigma^j \omega})+f(\psi_{\omega}), \tag{E} \] where \(f \in C([0,1])\), \(f(0)=f(1)=0\), is a given function, \(\omega=(i_1,i_2,\cdots,i_k,\cdots)\), \(i_k\in(0,1,\cdots,N-1)\), \(\sigma^j\omega=(i_{j+1},\cdots)\), \(\psi_{\omega}=\sum_{k=1}^{\infty} \frac{
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Multifractal analysis of fractal interpolation functions
Physica ScriptaAbstract This paper presents a novel algorithm to utilize multifractal spectrum as a quantitative measure for the fractal interpolation functions with respect to scaling factor and fractional order. As of yet, there were no error estimation techniques to interpret the fractal interpolation functions in the literature. To bridge this gap,
T M C Priyanka, A Gowrisankar
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Zipper rational fractal interpolation functions
The Journal of AnalysiszbMATH Open Web Interface contents unavailable due to conflicting licenses.
R. Pasupathi +3 more
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Construction of New Fractal Interpolation Functions Through Integration Method
Results in Mathematics, 2022A Gowrisankar
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Shape preserving rational cubic trigonometric fractal interpolation functions
Mathematics and Computers in Simulation, 2021Mohammad Sajid, A K B Chand
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Concerning the Vector-Valued Fractal Interpolation Functions on the Sierpiński Gasket
Mediterranean Journal of Mathematics, 2021Maria A Navascues
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