## Approximation theory and applications |

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### Contents

CONTRIBUTORS | 1 |

The Numerical Calculation of Spline Approximations on a Biinfmite | 13 |

Global Analysis in Nonlinear Approximation and Its Application | 23 |

Copyright | |

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1981 by Academic 2k+l admissible algebraic algorithm Approximation Theory asymptotic Banach space basis functions best approximation bounded set cardinal spline characteristic numbers Chebyshev center coefficients computed constant construct continuous functions convergence convex critical point defined degree 2n+l denote Department of Mathematics derivative differentiable eigenvalues equations error estimate example exists exponential exponential sums extended finite element Frobenius method given Hence inequality integral interval ISBN Israel iterative kernel Lemma Math matrix method Micchelli modulus of continuity Monosplines Monte Carlo Methods multiple nonlinear normed linear space obtained optimal Pad6 approximants polynomial of degree power series expansion problem Proof Proposition prove proximinal quadrature formula representation formula restriction satisfies sequence smoothing Sobolev spaces solution spline interpolation straddle points subset subspace symmetric Theorem THEORY AND APPLICATIONS tions topological space unique values zeros