The Generalized Weierstrass Approximation Theorem.

Stone, M. H. (1948). The Generalized Weierstrass Approximation Theorem. Mathematics Magazine, 4-5.

Type

Journal article

Intellectual base

Primary research

Year

1948

DOI

10.2307/3029750

Link

https://doi.org/10.2307/3029750

Cited from

mathematics

Cited by

2 citations across 2 artifacts.

Each citation links to the sentence it supports in the citing article.

Primes

• Dense Set
  • In topology and analysis it appears as the rationals in the reals, the algebraic numbers in the complex plane, and polynomials in continuous functions (Stone–Weierstrass).

    This sourceThe Stone–Weierstrass theorem, establishing density of polynomial (and more general) subalgebras in spaces of continuous functions.

Domain-specific

• Stone–Weierstrass Theorem
  • Stone's theorem generalizes Weierstrass's polynomial approximation on an interval by replacing polynomials with any qualifying function algebra and the interval with a compact Hausdorff space.

Verification

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