On an orthonormal polynomial basis in the space $C[-1,1]$
Volume 144 / 2001
Studia Mathematica 144 (2001), 181-196
MSC: 46B15, 46E15, 41A10.
DOI: 10.4064/sm144-2-6
Abstract
We show that in the space $C[-1,1]$ there exists an orthogonal algebraic polynomial basis with optimal growth of degrees of the polynomials.