Tabla de Contenidos:
  • Remez algorithm2.6 Notes; 3 Some classical results in the linear theory; 3.1 Moduli of continuity and smoothness in C and Lp; 3.2 Direct theorems: Jackson's theorem; 3.3 Converse theorems; 3.4 Direct and converse theorems for algebraic polynomial approximation in a finite interval; 3.5 Direct and converse theorems and the K-functional of J. Peetre; 3.6 Notes; 4 Approximation of some important functions; 4.1 Newman's theorem; 4.2 The exact order of the best uniform approximation to [x]; 4.3 Zolotarjov's results; 4.4 Uniform approximation of ex on [-1,1]: Meinardus conjecture