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RESEARCH PRODUCT
The fractal interpolation for countable systems of data
Nicolae Adrian Seceleansubject
Discrete mathematicsMetric spaceFractalIterated function systemGeneral MathematicsAttractorMathematics::General TopologyCountable setSecond-countable spaceCosmic spaceInterpolationMathematicsdescription
In this paper we will extend the fractal interpolation from the finite case to the case of countable sets of data. The main result is that, given an countable system of data in [a, b] ? Y, where [a, b] is a real interval and Y a compact and arcwise connected metric space, there exists a countable iterated function system whose attractor is the graph of a fractal interpolation function.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2003-01-01 | Publikacije Elektrotehnickog fakulteta - serija: matematika |