Müntz's Theorem

Müntz's theorem is a generalization of the Weierstraß Approximation Theorem, which states that any continuous function on a closed and bounded interval can be uniformly approximated byPolynomials involving constants and any Infinite Sequence of Powerswhose Reciprocals diverge.

In technical language, Müntz's theorem states that the Müntz Space is dense in Iff

• Fundamental Theorem of Algebra
• Fundamental Theorem of Arithmetic
• Fundamental Theorem of Curves
• Fundamental Theorem of Directly Similar Figures
• Fundamental Theorem of Gaussian Quadrature
• Fundamental Theorem of Genera
• Fundamental Theorem of Plane Curves
• Fundamental Theorem of Projective Geometry
• Fundamental Theorem of Space Curves
• Fundamental Theorem of Symmetric Functions
• Fundamental Theorems of Calculus
• Fundamental Unit
• Funnel
• Fuss's Problem
• Futile Game
• Fuzzy Logic
• FWHM
• Gabriel's Horn
• Gabriel's Staircase
• Gadget
• Gale-Ryser Theorem
• Galilean Transformation
• Gallows
• Gall's Stereographic Projection
• Gallucci's Theorem