Dependence on a Parameter

2017 ◽  
pp. 61-111
Author(s):  
Bernard Candelpergher
Keyword(s):  
Dependence On A Parameter

Continuous dependence on a parameter of the countable fractal interpolation function

2011 ◽  
Vol 27 (1) ◽  
Author(s):  
Nicolae-Adrian Secelean
Keyword(s):  
Continuous Dependence ◽  
Fractal Interpolation ◽  
Interpolation Function ◽  
Fractal Interpolation Function ◽  
Dependence On A Parameter

In this paper we will show that, if a countable interpolation data depends continuously on a parameter and some proper continuity conditions are fulfilled, then its associated attractor and the corresponding countable fractal interpolation function depends also continuously on the respective parameter. An example in R^2 is given.

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