Vladislav Kirillovic Dzjadyk Livres

Frontmatter -- Contents -- Preface -- 1. Introduction to approximation theory -- 2. A simple approach to Fredholm integral equations of the second kind and application of linear methods for approximating their solutions -- 3. Iteration method for approximately solving differential and integral equations -- 4. Approximation method for solving ordinary linear differential equations -- 5. Approximation of solutions of partial differential equations -- 6. Theory of transcendental functions and their approximation -- 7. Application of the ?—method to the rational approximation and integral representation of functions -- Bibliography

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.