Consider the problem (6.21) of the linear Chebyshev approximation with M = [0, 1], v(t) ˆ = t2 for all t ∈ [0, 1], n = 1, v1(t) = t for all t ∈ [0, 1]. With the aid of the alternation theorem (Theorem...

Consider the problem (6.21) of the linear Chebyshev approximation with M =

[0, 1], v(t) ˆ = t2 for all t ∈ [0, 1], n = 1, v1(t) = t for all t ∈ [0, 1]. With

the aid of the alternation theorem (Theorem 6.18) determine a solution of this

problem.