Constructive approximation : advanced problems / George G. Lorentz, Manfred volume Golitschek, Yuly Makovoz

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