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PreprintCC BY 4.0arXiv

Stability of Edelstein Hidden-Variable Fractal Interpolation Functions

  • Aiswarya T
  • Srijanani Anurag Prasad
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Abstract

This paper investigates the quantitative stability of Edelstein hidden-variable fractal interpolation functions (EHVFIFs) and the upper box-counting dimension of their graphs under perturbations of interpolation nodes, ordinate data, hidden-variable data, and vertical scaling functions.

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Cite

BibTeXRIS
BibTeX
@misc{aiswarya2026stability,
  title = {{Stability of Edelstein Hidden-Variable Fractal Interpolation Functions}},
  author = {Aiswarya T and Srijanani Anurag Prasad},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.10068},
  eprint = {2609.10068},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.10068},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Stability of Edelstein Hidden-Variable Fractal Interpolation Functions
AU  - Aiswarya T
AU  - Srijanani Anurag Prasad
PY  - 2026
DA  - 2026/09/09
PB  - arXiv
DO  - 10.48550/arxiv.2609.10068
UR  - https://arxiv.org/abs/2609.10068
AB  - This paper investigates the quantitative stability of Edelstein hidden-variable fractal interpolation functions (EHVFIFs) and the upper box-counting dimension of their graphs under perturbations of interpolation nodes, ordinate data, hidden-variable data, and vertical scaling functions.
ER  -