{
  "abstract": "The paper deals with the Riemann and Lebesgue integrability of functions. Sufficient conditions and criteria are stated for the integrability of a composition of functions. Relevant counterexamples are constructed based on Cantor's perfect sets and the Cantor staircase function. The main tool of research is Lebesgue's criterion for Riemann integrability.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2607.08950",
  "author_total": 2,
  "authors": [
    {
      "name": "Alexander Kukush"
    },
    {
      "name": "Mykhailo Naumov"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/c8sfn8tffb1h8.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2607.08950",
  "fulltext_url": null,
  "id": "c8sfn8tffb1h8",
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  "landing_url": "https://arxiv.org/abs/2607.08950",
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  "licence_label": "arXiv licence",
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  "metadata_licence": "CC0-1.0",
  "native_subjects": [
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      "arxiv",
      "math.CA"
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  "openalex": "W7168206311",
  "pdf_url": "https://arxiv.org/pdf/2607.08950",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-21",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/c8sfn8tffb1h8.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:34:22Z",
      "native_id": "2607.08950",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2607.08950"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.CA",
      "subfield": "analysis-pdes"
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  ],
  "title": "Integrability of a composition of functions",
  "title_text": "Integrability of a composition of functions",
  "type": "preprint",
  "updated_at": "2026-10-30T12:34:22Z",
  "url": "https://research.draconitic.com/paper/c8sfn8tffb1h8",
  "venue": "arXiv",
  "versions": []
}