## Approximation of functions: proceedings, Volume 1964Henry Leslie Garabedian, General Motors Corporation. Research Laboratories |

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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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6 other sections not shown

### Common terms and phrases

A. F. Timan algebraic algorithm Amer analytic functions approximation of functions approximation theory assume 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 eigenvalues elements equations error example exist extreme finite dimensional finite poles follows formulas Garkavi given hence Hilbert space homeomorphic inequalities integral interior L2-space Lemma linear operators manifold Math method minimal non-linear norm obtain phase function piecewise polynomial pn(z points polynomial of degree polynomial operators projection proof properties rational approximation rational functions result rhombus rhombus rules rn(z Rnv(z satisfy scheme sequence smooth solution spline functions spline interpolation submanifold subset Theorem topological trigonometric polynomials uniformly unique values variables zero