AWhat changed
A chosen polynomial uniformly approximates the continuous real function across a specified finite interval to a prescribed positive error; polynomial-series organization retains local uniform convergence.
Scientific scope
A chosen polynomial uniformly approximates the continuous real function across a specified finite interval to a prescribed positive error; polynomial-series organization retains local uniform convergence. The conclusion is uniform approximation on a fixed finite real interval, with polynomial choice depending on the function, interval and requested error. It does not make every continuous function analytic, give one fixed polynomial valid to arbitrary accuracy, guarantee uniform approximation on the entire real line or establish the later abstract Stone–Weierstrass theorem. Selected German reprint pages were inspected; full proof certification is not awarded.
Evidence
Source-linked, scoped account of the original work. The published scope states the scientific assumptions and remaining verification limits. WRS has not independently certified the full proof, experimental result or system benchmark.
Contributors
- Karl Weierstrass · SCIENCE: Original source-listed scientific author of this scoped work; byline does not determine effort fractions.
Provisional WRS assessment, edition 2026-10-16.1. Independent expert calibration is pending. This grade does not certify correctness or assign ownership.
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