Results 191 to 200 of about 5,604,790 (214)

Node insertion in Coalescence Fractal Interpolation Function

Chaos, Solitons & Fractals, 2013
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THE NON-DIFFERENTIABILITY OF A CLASS OF FRACTAL INTERPOLATION FUNCTIONS

Acta Mathematica Scientia, 1999
Summary: \textit{D. P. Hardin} and \textit{P. R. Massopust} [Commun. Math. Phys. 105, 455-460 (1986; Zbl 0605.28006)] introduced a class of fractal interpolation functions and calculated their Bouligand dimensions. This paper deals with the non-differentiability of these functions and shows some conditions under which they are nowhere differentiable.
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Hidden Variable Fractal Interpolation Functions

SIAM Journal on Mathematical Analysis, 1989
Interpolation 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, J. Elton, D. Hardin, P. Massopust   +3 more
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A class of functional equation and fractal interpolation functions

Applied Mathematics-A Journal of Chinese Universities, 1999
The 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 Scripta
Abstract 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 Analysis
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R. Pasupathi, null Vijay, A. K. B. Chand, N. S. Upadhye   +3 more
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Construction of New Fractal Interpolation Functions Through Integration Method

Results in Mathematics, 2022
Arulprakash Gowrisankar
exaly  

Construction and box dimension of the composite fractal interpolation function

Chaos, Solitons and Fractals, 2023
Zhong Dai, Shutang Liu
exaly  

Concerning the Vector-Valued Fractal Interpolation Functions on the Sierpiński Gasket

Mediterranean Journal of Mathematics, 2021
María Antonia Navascués, P Viswanathan
exaly  

Shape preserving rational cubic trigonometric fractal interpolation functions

Mathematics and Computers in Simulation, 2021
Mohammad Sajid, A K B Chand
exaly