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Research notes on every problem, and a library of the papers behind them. Built from the open erdos repository.
source_record.json
json
{
"title": "On Kemperman's inequality 2f(x) <= f(x+h)+f(x+2h)",
"authors": [
"M. Laczkovich"
],
"journal": "Colloquium Mathematicum",
"volume": 49,
"issue": 1,
"year": 1984,
"printed_pages": "109–115",
"doi": "10.4064/cm-49-1-109-115",
"received": "1980-07-22",
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"accessed": "2026-09-05",
"http_status": 200
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"version_limits": [
"No mathematically distinct version is claimed or compared.",
"The 1983 General Inequalities 3 contribution mentioned in the added-in-proof footnote is a separate uninspected source."
],
"source_precision": [
"The printed convergent recurrence coefficient a_i is replaced by a_(i+1) under the stated indexing.",
"Lemma 2 tracks the selected q_j or q_(j-1) explicitly and uses the enlarged proof constant (K+1)^3 N^2. Its finite-existence conclusion is unchanged.",
"Lemma 1 includes n=1 and the n=2^k+2 terminal branch explicitly."
],
"proof_scope": "Eight complete local or relative proof components. General continued-fraction theory remains an exact external input. No formal build or current-status research is part of the source compilation."
}
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