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Approximations with special emphasis on spline functions : proceedings of a symposium conducted by the Mathematics Research Center, United States Army, at the University of Wisconsin, Madison, May 5-7, 1969

Author: I J Schoenberg; Mathematics Research Center (United States. Army); University of Wisconsin.
Publisher: New York : Academic Press, ©1969.
Series: Publication ... of the Mathematics Research Center, United States Army, the University of Wisconsin, no. 23.
Edition/Format:   Print book : Conference publication : EnglishView all editions and formats
Summary:
This volume contains the proceedings of a symposium on approximations with special emphasis on spline functions held in Madison, Wisconsin, on May 5-7, 1969 and sponsored by Mathematics Research Center, United States Army, the University of Wisconsin. Spline functions are a good tool for the numerical approximation of functions, and they suggest new, challenging, and rewarding problems. From 1957 to 1964 the various  Read more...
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Genre/Form: Kongress
Kongreß
Madison (Wis., 1969)
Congresses
Additional Physical Format: Online version:
Approximations, with special emphasis on spline functions.
New York, Academic Press, 1969
(OCoLC)682225694
Material Type: Conference publication
Document Type: Book
All Authors / Contributors: I J Schoenberg; Mathematics Research Center (United States. Army); University of Wisconsin.
ISBN: 012628850X 9780126288506
OCLC Number: 45699
Description: xi, 488 pages : illustrations, tables, diagrams ; 24 cm.
Contents: Splines in the complex plane / J.H. Ahlberg --
Prolongement d'une fonction en une fonction différentiable : diverses majorations sur le prolongement / Christian Coatmelec --
Spline interpolation near discontinuities / Michael Golomb --
Generalized spline interpolation and nonlinear programming / Klaus Ritter --
Splines via optimal control / O.L. Mangasarian [and] L.L. Schumaker --
On the approximation by [lower case Greek gamma]-polynomials / Carl de Boor --
Piecewise bicubic interpolation and approximation in polygons / Garrett Birkhoff --
Distributive lattices and the approximation of multivariate functions / William J. Gordon --
Multivariate spline functions and elliptic problems / Martin H. Schultz --
On the degree of convergence of nonlinear spline approximation / John R. Rice --
Error bounds for spline interpolation / Richard S. Varga --
Multipoint expansions of finite differences / A. Meir and A. Sharma --
One-sided L₁-approximation by splines of an arbitrary degree / Zvi Ziegler --
Construction of spline functions in a convex set / P.J. Laurent --
Best quadrature formulas and interpolation by splines satisfying boundary conditions / Samuel Karlin --
The fundamental theorem of algebra for monosplines satisfying certain boundary conditions and applications to optimal quadrature formulas / Samuel Karlin.
Series Title: Publication ... of the Mathematics Research Center, United States Army, the University of Wisconsin, no. 23.
Responsibility: edited by I. J. Schoenberg.

Abstract:

This volume contains the proceedings of a symposium on approximations with special emphasis on spline functions held in Madison, Wisconsin, on May 5-7, 1969 and sponsored by Mathematics Research Center, United States Army, the University of Wisconsin. Spline functions are a good tool for the numerical approximation of functions, and they suggest new, challenging, and rewarding problems. From 1957 to 1964 the various optimal properties of spline functions were discovered and their relationships clarified. The number of mathematicians engaged in practical or theoretical spline analysis has considerably increased, and these proceedings show some of the current developments and trends.

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