Theory of Uniform Approximation of Functions by PolynomialsWalter de Gruyter, 2008. 9. 25. - 495페이지 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. |
목차
| 1 | |
Chapter 2 Weierstrass theorems | 111 |
Chapter 3 On smoothness of functions | 167 |
Chapter 4 Extension | 299 |
Chapter 5 Direct theorems on the approximation of periodic functions | 331 |
Chapter 6 Inverse theorems on the approximation of periodic functions | 345 |
Chapter 7 Approximation by polynomials | 379 |
| 437 | |
기타 출판본 - 모두 보기
자주 나오는 단어 및 구문
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