**MSC:**- 41A05 Interpolation, See also {42A15 and 65D05}
- 41A10 Approximation by polynomials, {For approximation by trigonometric polynomials, See 42A10}

Schauder basis $\{p_\mu\}_{\mu=0}^{\infty}$ for $C[-1,1]$

consisting of algebraic polynomials $p_\mu$ with

$\deg p_\mu \le (1+\varepsilon) \mu $. \\

The orthogonality is with respect to the Chebyshev weight.