Accession Number : ADA116158

Title :   Euler's Contribution to Cardinal Spline Interpolation: The Exponential Euler Splines.

Descriptive Note : Technical summary rept.,

Corporate Author : WISCONSIN UNIV-MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s) : Schoenberg,I J

PDF Url : ADA116158

Report Date : Apr 1982

Pagination or Media Count : 20

Abstract : This paper is the author's contribution to the volume Leonardt Euler-Gedenkband 1983 to be published in Basel, Switzerland, in 1983 in honor of Euler's bicentenial. It is mainly devoted to the exponential Euler spline Sn(x ;t) of degree n to the base t, and also sketches their role in cardinal spline interpolation. The paper has two aims: 1. As a tribute to Euler, 2. To make the expontential Euler splines Sn(x ;t) better known.

Descriptors :   *Rational functions, *Exponential functions, Splines, Interpolation, Euler angles, Intervals, Approximation(Mathematics), Polynomials

Subject Categories : Numerical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE