Dzyadyk V.K., Shevchuk I.A. Theory of Uniform Approximation of Functions by Polynomials

Amsterdam: Walter de Gruyter, 2008. - 496p.A thorough, self-contained and easily accessible treatment of the theory on the polynomial best approximation of functions with respect to maximum norms. The topics include Chebychev theory, Weierstrass theorems, smoothness of functions, and continuation of functions.