TY - BOOK AU - Lorentz,G.G AU - Golitschek,Manfred von AU - Makovoz,Yuly TI - Constructive approximation: advanced problems T2 - Grundlehren der mathematischen Wissenschaften SN - 3540570284 AV - QA221 .L63 1996 PY - 1996///] CY - Berlin, New York PB - Springer KW - Approximation theory N1 - Includes bibliographical references (pages [621-640) and indexes; Contents; Ch. 1 Problems of Polynomial Approximation; Ch. 2 Approximation Problems with Constraints; Ch. 3 Incomplete Polynomials; Ch. 4 Weighted Polynomials; Ch. 5 Wavelets and Orthogonal Expansions; Ch. 6 Splines; Ch. 7 Rational Approximation; Ch. 8 Stahl's Theorem; Ch. 9 Pade Approximation; Ch. 10 Hardy Space Methods in Rational Approximation; Ch. 11 Muntz Polynomials; Ch. 12 Nonlinear Approximation; Ch. 13 Widths I; Ch. 14 Widths II: Weak Asymptotics for Widths of Lipschitz Balls, Random Approximants; Ch. 15 Entropy; Ch. 16 Convergence of Sequences of Operators; Ch. 17 Representation of Functions by Superpositions; Appendix 1. Theorems of Borsuk and of Brunn-Minkowski; Appendix 2. Estimates of Some Elliptic Integrals; Appendix 3. Hardy Spaces and Blaschke Products; Appendix 4. Potential Theory and Logarithmic Capacity; Bibliography; Author Index; Subject Index ER -