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Fractal Multiquadric Interpolation Functions
SIAM Journal on Numerical AnalysiszbMATH Open Web Interface contents unavailable due to conflicting licenses.
A K B Chand, Peter Massopust
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Generalized Cubic Spline Fractal Interpolation Functions
SIAM Journal on Numerical Analysis, 2006We construct a generalized Cr-Fractal Interpolation Function (Cr-FIF) f by prescribing any combination of r values of the derivatives f(k), k=1,2,\dots,r, at boundary points of the interval I = [x0,xN]. Our approach to construction settles several questions of Barnsley and Harrington [J. Approx Theory, 57 (1989), pp.
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THE NON-DIFFERENTIABILITY OF A CLASS OF FRACTAL INTERPOLATION FUNCTIONS
Acta Mathematica Scientia, 1999Summary: \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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FRACTAL INTERPOLATION FUNCTIONS ON AFFINE FRACTAL INTERPOLATION CURVES
Fractals, 2021In this paper, we give fractal interpolation functions generated on some special affine fractal interpolation curve by harmonic functions of fractal analysis. In the case of Koch Curve, same statement is regarded as a corollary, that is, we show that it is possible to ensure that graphs of fractal interpolation functions on the Koch Curve are ...
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On the integral transform of fractal interpolation functions
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