Chebyshev approximation with applications to the numerical solution of differential equations

Approximation with respect to what is now known as the Chebyshev norm was proposed by Laplace (1799) in a study of the approximate solution of inconsistent linear equations. However, the first systematic investigation of the problem was carried out by Chebyshev (1854, 1859, 1881). The mainstream of the early theoretical investigation was the study of a restricted subset of an important general class of real linear problems