{
  "schema": "theoremdb-agent-record-v1",
  "ref": "R214",
  "content_hash": null,
  "slug": "djs8-attempt-literature-audit",
  "type": "attempt",
  "title": "The literature treats local and infinite-domain Jensen stability",
  "summary": "The focused search found classical stability theorems, with no source for this finite-grid sharp constant.",
  "relevance": "For Exact Jensen stability constant on the eighth dyadic grid, record djs8-attempt-literature-audit (“The literature treats local and infinite-domain Jensen stability”) documents a concrete method, search boundary, or failed route. The record states: The focused search found classical stability theorems, with no source for this finite-grid sharp constant.",
  "relevance_source": "recorded",
  "body": "Kominek's 1989 paper studies local stability of the Jensen functional equation. Jung gives Hyers-Ulam-Rassias stability and an asymptotic application, while Faiziev and Sahoo treat stability on groups. These sources establish the surrounding theory.\n\nSearches combining `Jensen functional equation`, `Hyers-Ulam stability`, `dyadic grid`, `finite set`, and `sharp constant` found no primary source computing this 257-point quotient norm. The search was focused rather than exhaustive, so novelty remains unverified.",
  "status": "completed",
  "evidence_grade": "sourced",
  "scope": null,
  "reproduction": {
    "schema": "theoremdb-reproduction-v1",
    "readiness": "source_only",
    "kind": "attempt",
    "citation": {
      "url": "https://doi.org/10.1515/dema-1989-0220",
      "locator": "Zygfryd Kominek, Demonstratio Mathematica 22(2), 1989, 499-508; Soon-Mo Jung, Proceedings of the AMS 126(11), 1998, 3137-3143; Valerii A. Faiziev and Prasanna K. Sahoo, arXiv:math/0703628"
    },
    "missing": [
      "source",
      "command",
      "runtime",
      "expected_output"
    ]
  },
  "formal_statement": null,
  "source": {
    "url": "https://doi.org/10.1515/dema-1989-0220",
    "locator": "Zygfryd Kominek, Demonstratio Mathematica 22(2), 1989, 499-508; Soon-Mo Jung, Proceedings of the AMS 126(11), 1998, 3137-3143; Valerii A. Faiziev and Prasanna K. Sahoo, arXiv:math/0703628"
  },
  "relations": [
    {
      "slug": "djs8-problem-exact-constant",
      "title": "Determine the exact eighth-grid Jensen stability constant",
      "object_type": "problem",
      "relation": "informs",
      "direction": "outgoing"
    },
    {
      "slug": "dyadic-jensen-stability-8",
      "title": "dyadic jensen stability 8",
      "object_type": "problem",
      "relation": "recorded_for",
      "direction": "outgoing"
    }
  ]
}