Book Volume 136 1984

Approximation Theory and Spline Functions

Editors:

ISBN: 978-94-009-6468-6 (Print) 978-94-009-6466-2 (Online)

Table of contents (28 chapters)

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  1. Front Matter

    Pages i-ix

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    Chapter

    Pages 1-22

    Products of Polynomials

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    Chapter

    Pages 23-63

    Exchange Algorithms, Error Estimations and Strong Unicity in Convex Programming and Chebyshev Approximation

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    Chapter

    Pages 65-87

    Four Lectures on Multivariate Approximation

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    Chapter

    Pages 89-95

    The Approximation of Certain Functions by Compound Means

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    Chapter

    Pages 97-125

    A Practical Method for Obtaining a Priori Error Bounds in Pointwise and Mean-Square Approximation Problems

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    Chapter

    Pages 127-142

    Surface Spline Interpolation: Basic Theory and Computational Aspects

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    Chapter

    Pages 143-145

    Interpolation of Scattered Data: Distance Matrices and Conditionally Positive Definite Functions

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    Chapter

    Pages 147-150

    Semi-Norms in Polynomial Approximation

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    Chapter

    Pages 151-197

    On Spaces of Piecewise Polynomials in Two Variables

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    Chapter

    Pages 199-205

    Birkhoff Interpolation on the Roots of Unity

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    Chapter

    Pages 207-245

    Applications of Transformation Theory: A Legacy from Zolotarev (1847–1878)

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    Chapter

    Pages 247-256

    Explicit Algebraic Nth Order Approximations to PI

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    Chapter

    Pages 257-264

    Solving Integral Equations of Nuclear Scattering by Splines

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    Chapter

    Pages 265-270

    H-Sets for Non-Linear Constrained Approximation

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    Chapter

    Pages 271-288

    Operator Pade Approximants: Some ideas behind the theory and a numerical illustration

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    Chapter

    Pages 289-292

    Harmonic Approximation

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    Chapter

    Pages 293-295

    Best Harmonic L1 Approximation to Subharmonic Functions

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    Chapter

    Pages 297-325

    B-Splines on the Circle and Trigonometric B-Splines

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    Chapter

    Pages 327-338

    On Reducing the Computational Error in the Successive Approximations Method

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    Chapter

    Pages 339-348

    Lebesgue Constants Determined by Extremal Sets

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