{
  "abstract": "Partial sums of the Taylor expansions of functions from the Neil algebra are uniformly bounded by their uniform norms on the ball of radius $r$ centered at the origin, where $r$ denotes the unique real root of \\[ 4x^3 + x - 2 = 0. \\] Moreover, this radius $r$ is optimal.",
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  "article_type": null,
  "arxiv": "2609.17114",
  "author_total": 2,
  "authors": [
    {
      "name": "Nilanjan Das"
    },
    {
      "name": "Jaydeb Sarkar"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/7q1gapgm36fpw.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.17114",
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  "landing_url": "https://arxiv.org/abs/2609.17114",
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  "metadata_licence": "CC0-1.0",
  "native_subjects": [
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  "pdf_url": "https://arxiv.org/pdf/2609.17114",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-15",
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  "ris": "https://research.draconitic.com/paper/7q1gapgm36fpw.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:21:45Z",
      "native_id": "2609.17114",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.17114"
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  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.CV",
      "subfield": "analysis-pdes"
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  ],
  "title": "Fejér-Rogosinski theorem for the Neil algebra",
  "title_text": "Fejér-Rogosinski theorem for the Neil algebra",
  "type": "preprint",
  "updated_at": "2026-10-30T12:21:45Z",
  "url": "https://research.draconitic.com/paper/7q1gapgm36fpw",
  "venue": "arXiv",
  "versions": []
}