## On Numerical Approximation: Proceedings of a Symposium Conducted by the Mathematics Research Center, United States Army, at the University of Wisconsin, Madison, April 21-23, 1958 |

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### Contents

On Trends and Problems in Numerical Approximation | 3 |

Linear Spaces and Approximation Theory ll | 11 |

Operational Methods in Numerical Analysis Based on Rational | 25 |

Copyright | |

21 other sections not shown

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### Common terms and phrases

Akad Amer apply assume asymptotic Bernstein polynomials best approximation boundary value problem calculated coefficients computation conﬂuent confluent forms consider constant continuous function convergent convex corresponding defined denote differential equation discussed divided difference Dokl element error bound estimate example exists expression Fejér finite func function f Gaussian Hilbert space implies inequality interpolation formulas interval kernel Lagrangian Lemma limit linear combination linear functionals linear space linear transformation linearly independent lower bound Math method minimizing minimum error norm numerical analysis obtained operator orthogonal orthogonal polynomials Padé table periodic functions pn(x polynomial approximation polynomial of degree possible proof quadratic quadrature formula rational reference representation Russian satisfied scheme sequence solution spectra subspace Taylor series Tchebycheff approximation Tchebycheff polynomials Theorem theory tion Tn(x transformation trapezoidal rule unique variables zeros