## Approximation of functions: proceedings, Volume 1964 |

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### Contents

Uses of Hilbert Space in Approximation | 17 |

Applications of Duality in Approximation Theory | 27 |

Inclusion Theorems for the Minimal Distance in Rational Tschebyscheff | 43 |

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### Common terms and phrases

A. F. Timan algebraic algorithm Amer analytic functions approximation of functions approximation theory asymptotic asymptotically optimal Banach space best approximation bounded Cebysev Chebyshev approximation class C1 class of functions closed coefficients compact Comput consider continuous functions convex convex sets convolution transform curves defined degree of approximation degree of convergence denote derivative differentiable Dokl element equations error example exist finite dimensional finite poles follows formula Fourier series Garkavi given Hence Hilbert space inequalities integral interior L2-space Lemma lim sup linear operators manifold Math method minimal non-linear norm obtain optimal approximator phase function piecewise polynomial pn(z points polynomial of degree projection proof properties rational approximation rational functions rhombus rn(z Rnv(z satisfy scheme sequence smooth solution spline functions spline interpolation subset Tchebycheff Theorem topological trigonometric polynomials uniformly unique Uspehi values variables zero