Stone–Weierstrass theorem
Teorema de aproximación de Weierstrass
- Date
- 1885 · confidence high
- Place
- Berlin, Germany
- Credited to
- Karl Weierstraß y Marshall Harvey Stone
- Field
- Knowledge & symbols
What was discovered
A theorem in mathematical analysis guaranteeing that any continuous function on a closed interval can be approximated as closely as desired by a polynomial, established by Karl Weierstrass and later generalized by Marshall Stone.
What it led to
- Polynomial interpolation and approximation
- Numerical analysis and computing
- Algebra of continuous functions (Stone–Weierstrass theorem)
- Approximation foundations in machine learning