Graph-directed fractal interpolation functions

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DENİZ A., Ozdemir Y.

TURKISH JOURNAL OF MATHEMATICS, cilt.41, sa.4, ss.829-840, 2017 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 41 Sayı: 4
  • Basım Tarihi: 2017
  • Doi Numarası: 10.3906/mat-1604-39
  • Dergi Adı: TURKISH JOURNAL OF MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.829-840
  • Anahtar Kelimeler: Fractal interpolation function, iterated function system, graph-directed iterated function system
  • Anadolu Üniversitesi Adresli: Evet

Özet

It is known that there exists a function interpolating a given data set such that the graph of the function is the attractor of an iterated function system, which is called a fractal interpolation function. We generalize the notion of the fractal interpolation function to the graph-directed case and prove that for a finite number of data sets there exist interpolation functions each of which interpolates a corresponding data set in R-2 such that the graphs of the interpolation functions are attractors of a graph-directed iterated function system.