Theory of Uniform Approximation of Functions by Polynomials
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.
다른 사람들의 의견 - 서평 쓰기
서평을 찾을 수 없습니다.
Chapter 2 Weierstrass theorems
Chapter 3 On smoothness of functions
Chapter 4 Extension
Chapter 5 Direct theorems on the approximation of periodic functions
기타 출판본 - 모두 보기
2-snakes afunction Akad algebraic polynomial approximation of functions arbitrary arccos assume Bernstein best approximation best uniform approximation Chebyshev polynomials Chebyshev system classes complex const continuous functions Corollary defined Deﬁnition denote derivative Dirichlet kernels divided difference Dokl Dzyadyk equality estimate exists Fejér kernel following inequality following properties Fourier series function f hence Hölder classes integral interpolation interval kernels Kiev Lagrange polynomial Lemma Let us prove linear Math modulus of continuity Nauk SSSR nomial obtain offunctions periodic functions Pn(x points xi polynomial of degree polynomial Pn possesses the following problem proof of Theorem Russian segment Shevchuk space Stechkin Theorem 1.2 theory of approximation tion trigonometric polynomial Vallée Poussin variables xm;f yields zeros