Generalization of Hermite functions by fractal interpolation

Journal of Approximation Theory

Volumn 131, Issue 1, 2004, Pages 19-29

  Navascues M A ^a   Sebastian M V ^a  

^a UNIVERSITY OF ZARAGOZA   (Spain)

Author keywords

Fractal interpolation functions; Hermite functions; Iterated function systems

Indexed keywords

EID: 8744266577     PISSN: 00219045     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jat.2004.09.001     Document Type: Article

References (8)

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2. M.F. Barnsley, Fractals Everywhere, Academic Press, New York, 1988, p. 34
3. M.F. Barnsley A.N. Harrington The calculus of fractal interpolation functions J. Approx. Theory 57 1989 14-34
4. P.G. Ciarlet M.H. Schultz R.S. Varga Numerical methods of high-order accuracy for nonlinear boundary value problems. I. One dimensional problem Numer. Math. 9 1967 394-430
5. G.A. Edgar, Measure, Topology and Fractal Geometry, Springer, New York, 1990, p. 105
6. D.P. Hardin B. Kessler P.R. Massopust Multiresolution analyses based on fractal functions J. Approx. Theory 71 1992 104-120
7. M.A. Navascués M.V. Sebastián Some results of convergence of cubic spline fractal interpolation functions Fractals 11 1 2003 1-7
8. J. Stoer, R. Bulirsch. Introduction to Numerical Analysis, Springer, New York, 1980, pp. 56-57