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PreprintCC BY 4.0arXiv

Recurrent Histopolating Fractal Functions

Abstract

Recurrent fractal interpolation extends the usual fractal interpolation framework by introducing a recurrence structure. Fractal histopolation, on the other hand, is concerned with the area-matching properties of fractal functions. In this paper, we combine these two approaches and introduce a recurrent fractal histopolants.

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BibTeX
@misc{singh2026recurrent,
  title = {{Recurrent Histopolating Fractal Functions}},
  author = {Pavjeet Singh and Vinay Kumar and S. K. Katiyar},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.32557},
  eprint = {2609.32557},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.32557},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Recurrent Histopolating Fractal Functions
AU  - Pavjeet Singh
AU  - Vinay Kumar
AU  - S. K. Katiyar
PY  - 2026
DA  - 2026/09/26
PB  - arXiv
DO  - 10.48550/arxiv.2609.32557
UR  - https://arxiv.org/abs/2609.32557
AB  - Recurrent fractal interpolation extends the usual fractal interpolation framework by introducing a recurrence structure. Fractal histopolation, on the other hand, is concerned with the area-matching properties of fractal functions. In this paper, we combine these two approaches and introduce a recurrent fractal histopolants.
ER  -