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I. J. Schoenberg Selected Papers

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Cover of 'I. J. Schoenberg Selected Papers'

Table of Contents

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    Book Overview
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    Chapter 1 Contributions to the Problem of Approximation of Equidistant Data by Analytic Functions
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    Chapter 2 Contributions to the Problem of Approximation of Equidistant Data by Analytic Functions
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    Chapter 3 Cardinal Interpolation and Spline Functions IV. The Exponential Euler Splines
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    Chapter 4 Cardinal Interpolation and Spline Functions VII. the Behavior of Cardinal Spline Interpolants as their Degree Tends to Infinity
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    Chapter 5 On the Remainders and the Convergence of Cardinal Spline Interpolation for Almost Periodic Functions
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    Chapter 6 Cardinal Splines
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    Chapter 7 On Smoothing Operations and their Generating Functions
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    Chapter 8 Spline Functions and the Problem of Graduation
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    Chapter 9 Über variationsvermindernde lineare Transformationen
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    Chapter 10 Zur Abzählung der reellen Wurzeln algebraischer Gleichungen
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    Chapter 11 On the Generating Functions of Totally Positive Sequences I
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    Chapter 12 On Variation Diminishing Spline Approximation Methods
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    Chapter 13 Total Positivity and Variation Diminishing Transformations
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    Chapter 14 On Pólya Frequency Functions
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    Chapter 15 On Pólya frequency functions. II: Variation-diminishing integral operators of the convolution type
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    Chapter 16 On Pólya Frequency Functions. III. The Positivity of Translation Determinants with an Application to the Interpolation Problem by Spline Curves
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    Chapter 17 On Pólya Frequency Functions IV: The Fundamental Spline Functions and their Limits
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    Chapter 18 Pólya frequency functions and sequences
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    Chapter 19 Spline Interpolation and Best Quadrature Formulae
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    Chapter 20 On Best Approximations of Linear Operators
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    Chapter 21 On Interpolation by Spline Functions and its Minimal Properties
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    Chapter 22 The variational approach to splines
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    Chapter 23 On Hermite-Birkhoff Interpolation
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    Chapter 24 Schoenberg’s work on Hermite-Birkhoff interpolation
Attention for Chapter 13: Total Positivity and Variation Diminishing Transformations
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Chapter title
Total Positivity and Variation Diminishing Transformations
Chapter number 13
Book title
I. J. Schoenberg Selected Papers
Published by
Birkhäuser, Boston, MA, January 1988
DOI 10.1007/978-1-4899-0433-1_13
Book ISBNs
978-1-4899-0435-5, 978-1-4899-0433-1
Authors

Samuel Karlin, Karlin, Samuel

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