MathDB
Miklos Schweitzer 1976_8

Source: system of polynomials is dense in C[0,1]

December 30, 2008
algebrapolynomialintegrationreal analysisreal analysis unsolved

Problem Statement

Prove that the set of all linearly combinations (with real coefficients) of the system of polynomials \{ x^n\plus{}x^{n^2} \}_{n\equal{}0}^{\infty} is dense in C[0,1] C[0,1]. J. Szabados