{
  "abstract": "This independent correction note examines the printed special-mean application (Proposition 2), the cubic illustration (Equations 13–14), and the kernel normalization in Saleh et al., Fractal and Fractional 9 (2025), Article 25, doi:10.3390/fractalfract9010025. At nu=1 and n=2, it proves a strict violation of Proposition 2 for every 0<a=2, supplies a self-contained corrected classical power-mean estimate, repairs the cubic formulas, and records the required positive kernel mass. These findings do not establish falsity of the main nonclassical theorems for 0<nu<1. The deposit includes the five-page manuscript PDF and a LaTeX source ZIP with exact symbolic verification code. This is an independent preprint, not a publisher-issued corrigendum.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": null,
  "author_total": 1,
  "authors": [
    {
      "name": "Rafik Zeraoulia"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/7z23cny9f0bje.bib",
  "cited_by": 0,
  "doi": "10.5281/zenodo.23438306",
  "fulltext_url": null,
  "id": "7z23cny9f0bje",
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  "landing_url": "https://zenodo.org/records/23438306",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "https://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": null,
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  "pdf_url": "https://zenodo.org/api/records/23438306/files/Zeraoulia_Bullen_Correction_2026.pdf/content",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-17",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/7z23cny9f0bje.ris",
  "sources": [
    {
      "first_seen": "2026-10-31T12:21:17Z",
      "native_id": "23438306",
      "source": "zenodo",
      "url": "https://zenodo.org/records/23438306"
    }
  ],
  "subjects": [],
  "title": "Mathematical Corrections to the Special-Mean Application and Cubic Example in New Approaches to Fractal–Fractional Bullen's Inequalities Through Generalized Convexity",
  "title_text": "Mathematical Corrections to the Special-Mean Application and Cubic Example in New Approaches to Fractal–Fractional Bullen's Inequalities Through Generalized Convexity",
  "type": "preprint",
  "updated_at": "2026-10-31T12:21:17Z",
  "url": "https://research.draconitic.com/paper/7z23cny9f0bje",
  "venue": "Zenodo",
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}