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The calculus of fractal interpolation functions

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Date

1989

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Abstract

The calculus of deterministic fractal functions is introduced. Fractal interpolation functions can be explicitly indefinitely integrated any number of times, yielding a hierarchy of successively smoother interpolation functions which generalize splines and which, just as in the case for the original fractal functions, are attractors for iterated function systems. The fractal dimension for a class of fractal interpolation functions is explicitly computed.

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https://dspace-test.anu.edu.au/handle/1885/733734643

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DevOps Pure Testing

Source

Journal of Approximation Theory

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Article

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DOI

10.1016/0021-9045(89)90080-4

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