Results 191 to 200 of about 21,442 (219)

Interpolating and orthogonal polynomials on fractals

Constructive Approximation, 1989
A set \(F\subset {\mathbb{R}}^ n\) is said to preserve Markov's inequality if for every \(k\in {\mathbb{N}}\) there is a constant c(n,k,F) such that, for all polynomials P of degree \(\leq k\) and all balls \(B(x_ 0,r)\) with \(x_ 0\in F\) and ...
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Interpolative operators: Fractal to multivalued fractal

Chaos, Solitons & Fractals, 2022
Prithvi, B. V., Katiyar, S. K.
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Fractal Polynomial Interpolation

Zeitschrift für Analysis und ihre Anwendungen, 2005
A general procedure to define non-smooth versions of classical approximants by means of fractal interpolation functions is proposed. A complete and explicit description in the frequency domain of the functions constructed is obtained through their exact Fourier transforms.
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Fractal Interpolation Waveforms

Computer Music Journal, 1995
Fractal interpolation is a method of generating functions that pass through given points. We describe the method through an example, illustrated in Figures 1-4. Figure 1 shows four points, through which we will pass a function. Figure 2 shows linear interpolation through the four points; this is the first stage in fractal interpolation, and will be ...
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Fractal functions and interpolation

Constructive Approximation, 1986
Consider a set of data points \(\{x_ i,y_ i)\in I\times R:i=0,...,N\}\), where \(I=[x_ 0,x_ N]\subseteq R\). The author considers continuous functions f:I\(\to R\) which interpolate the given data, i.e. \(f(x_ i)=y_ i\), and such that there exist a compact subset \(K=I\times [a,b]\subseteq R^ 2\) and continuous functions \(w_ n:K\to K\) such that the ...
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Construction and application of fractal interpolation surfaces

The Visual Computer, 1996
Fractal geometry has unique advantages for a broad class of modeling problems, including natural objects and patterns. This paper presents an approach to the construction of fractal surfaces by triangulation. After introducing the notion of iterated function systems (IFSs), we prove theoretically that the attractors of this construction are continuous ...
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A NEW CONSTRUCTION OF THE FRACTAL INTERPOLATION SURFACE

Fractals, 2015
In this paper, we introduce a new construction of the fractal interpolation surface (FIS) using an even more general iterated function systems (IFS) which can generate self-affine and non self-affine fractal surfaces. Here we present the general types of fractal surfaces that are based on nonlinear IFSs.
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Fractal Interpolation

Journal of Computing in Civil Engineering, 2002
M. C. Gemperline, T. J. Siller
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Construction of New Fractal Interpolation Functions Through Integration Method

Results in Mathematics, 2022
Arulprakash Gowrisankar, Agathiyan A
exaly  

Construction and box dimension of the composite fractal interpolation function

Chaos, Solitons and Fractals, 2023
Zhong Dai
exaly